recursal/Fanatic-Fandom huggingface dataset:
Repulsion Failure

Repulsion failure is a condition found in Variant 2 Humanoids. It is estimated that 1 in 5 Variant 2s will experience repulsion failure at some point in their life.

## Signs and Symptoms

Repulsion failure occurs after the individual has reached their adult repulsion. Early symptoms include slow decrease of maximum repulsion, fatigue, and dizziness. In later stages, the subject loses all repulsion and cannot hover off the ground and begins to have muscle spasms. Subjects may also lose hearing in later stages.

## Prognosis

Repulsion failure has a 60% survival rate in patients under 65, and a 30% survival rate for patients over 65. 80% of patients over 65 who survive the illness will permanently lose their repulsion, compared to 25% of those under 65. 70% of patients under 65 who survive the illness and retain their repulsion will have a lower average repulsion than they did prior to the illness, compared to 90% of patients over 65.

## Treatment

The most effective treatment for repulsion failure is gravitational therapy, which consists of many gravitational exercises similar to those done by early astronauts to get used to space travel. This treatment, if successful, wil rebalance repulsion fluid within the subject. Other treatments include medication such as the Bachman-Turner pill (not to be confused with the band Bachman-Turner Overdrive) which restores a healthy bone density to the subject.

## Causes

### Age

Repulsion failure becomes more common with age, as bone density may decrease or increase, which affects repulsion. Aging patients may also have defective repulsion fluid, due to issues with repulsion glands.

### Genetics

Some Variant 2s are genetically predisposed to experiencing repulsion failure. Genetic predisposition is the cause of 85% of cases with patients under the age of 50.

### Idiopathy

Around 2% of all cases are idiopathic in nature.

### Pre-existing conditions

Conditions such as osteopenia or certain types of cancer can cause repulsion failure, especially in older patients.

### Injury

Certain major injuries such as car accidents can cause repulsion failure, although it is the second least likely cause after idiopathy.

## Prevention

Genetic modification in Variant 2 fetuses can prevent genetic predisposition to repulsion failure.
Grum

Grum is an Armenian entrepreneur.

## Life and Career

Grum was born in Yerevan, Armenia on April 18th, 1963. Little else is known about his early life. He moved to Montreal in 1995 and opened a burger joint on Saint-Jacques street. In 2003, he hired Tommy, who was his best and most loyal fry cook, working at the restaurant for 51 years. In 2043, Chuck Brosun granted Grum and his family a free immigration pass to BrosunWorld. Grum opened a new Grum's location on BrosunWorld, which he operated for 11 years before his death in 2056 at the age of 93.
Заднедворное Барбекю Гриллби

\* Давай начнём дружескую беседу и уйдём отсюда?

**Заднедворное Барбекю Гриллби** (англ. *Grillby's Backyard Barbecue*) - это сеть ресторанов, расположенных в каждой локации Подземелья.

## Описание

Заднедворное Барбекю Гриллби представляет из себя ресторан в ретро-стиле. В нем можно увидеть несколько столов, стульев, диванов, музыкальный автомат, барную стойку и дверь рядом с ней.

### Разрушенный Дом

Филиал в Разрушенном Доме находится справа от выхода из Канализации в Старый Город. Сначала покупка еды будет недоступной, но после спасения Бугерпента от Гризеров его можно будет встретить на своём рабочем месте, где можно купить Гриллбургер за 22 G и Хрустящий картофель фри за 10 G.

### Бореальные утёсы

По словам разработчиков, филиал Заднедворного Барбекю Гриллби в Бореальных Утёсах является центральным, где, несомненно, работает сам Гриллби.
Sam Brosun

Sam Brosun is the last emperor of Brosonia. He is the son of Doug Brosun.

## Life

Sam was neglected by his father throughout his youth. When he ascended to the throne in 2115, he immediately decided to expand the empire as much as possible. His attempts to colonise neighbouring Kepler systems were unsuccessful and ultimately caused the downfall of the empire. He retired from the public eye after the collapse of Brosonia. His exact fate is unknown but he is presumed dead.

## Trivia

Sam was initially planned to be married to a Lekbog, a scrapped alien species.
Aryanism

Aryanism is a form of fascism that originated in Germany in the 1930s.

## Tenets

Aside from standard fascist ideas such as ultranationalism, traditionalism, and chauvinism, Aryanism also formulated the idea of the Ideal Humanoid. According to Aryanism, the ideal Humanoid would be a Variant 1 Human with light skin, blue eyes, and blonde hair, who participated in Odinist religion. Aryanism advocated for fanatical puritanism, denouncing marriage and crossbreeding between Humanoid subspecies.

## Consequences

### Genocide

After Germany's invasion of Poland in 1939, the Hitler regime imposed a ban on all intersubspecies marriages and romantic/sexual relations. As a response to both the Jewish Question and the Variant 2 Question, Nazi Germany began the construction of concentration camps with the goal of eliminating the Jewish People from Europe, and eliminating Variant 2 Humans not only from Europe, but also the possibility of new Variant 2s being born. The genocide of Variant 2 Humans was partially based on an early model of natural selection, dubbed by German scientists as the Environmental Fertility Theory. The belief was that if a child was taken away and/or killed shortly after birth, the mother would condition herself not to produce other children with the characteristics of the disappeared child.

The effects of the Nazis' genocide on almost every form of Humanoid were felt for generations after the war. Generational trauma and further discrimination of Jews, Variant 2s, and Camelfolk were still highly present in the decades following the war.

### Post-war efforts to eliminate Aryanism

After the Second European War ended in 1945, Germany and many other countries banned Aryanist literature and symbols. Many other countries also took measures to ensure Aryanism or similar ideologies would not increase in popularity anywhere else.

### Discrimination of Odinists as a result of Aryanist appropriation of Odinist symbols

Aryanists heavily promoted Odinism, which had been prevalent in Germany, Britain, and Scandinavia a thousand years prior, as it was thought of as more pure than Manichaeism, Christianity, and Islam, which were largely practiced by other subspecies. Nazi Germany made heavy use of Odinist symbols, notably Mjonlir and the Sonnenrad. After the war, for about a century, Odinists were discriminated against for their use of these symbols for their original purpose, although this discrimination was never systemic, with the exception of a few attempts to ban the Futhark alphabet by Britain and New Kalmar in the early 21st century. Hate crimes against Odinists rose after the Second European War.
Коффин-К

* В бою
* В мире

**Коффин-К** (англ. *Koffin-K*) - это один из мини-боссов в игре TS!Underswap, и по совместительству заклятый враг Кроссбоунса.

## Описание

### Внешность

Коффин-К носит красный плащ с длинными рукавами и галстук-бабочку в форме летучей мыши. На голове носит шляпу с глазами и очками. Его истинная личность скрыта и в настоящее время остается неизвестной.

## История

То, что начиналось как благие намерения, стало эгоистичным стремлением к богатству и власти. Коффин-К превратил свой некогда обездоленный остров в криминальную империю, истощая ее ресурсы и воровав с других островов. Используя своих лакеев, чтобы принять наказание за свои преступления, Королевский флот не может прикоснуться к нему. И тогда, Звездный Спаситель взял его в свои руки, чтобы остановить его.

## Интересные факты

* Коффин-К назван в честь композитора coffE-K, который сейчас именуется Robin Blend.
* Остров Коффин-К включает мотив "forlorn" из Undertale Yellow в качестве ссылки на их персонажа, Далва. Предположительно, это связано с характером Коффина-К, который может быть связан с летучими мышами.
* Подтверждено, что его личность черпает вдохновение у Похитителя из A Hat in Time и Антасмы из Mario & Luigi: Dream Team.
Joe

*Not to be confused with Joey*

Joe is Chuck Brosun's son and youngest child. He was born on his father's birthday in 2005. He has been described by Chuck to be "the best birthday gift [he'd] ever received", even after he came out as homosexual which put Chuck into a homophobia-induced 3 month coma.

## Biography

After the foundation of Brosonia, Joe was tasked with guarding the border with an airsoft gun. Joe and his partner, Matt, moved to BrosunWorld in 2032, and they got married two years later. After Chuck's death in 2057, Joe inherited the empire. During his reign, he gradually ended osmium production on BrosunWorld as it was making the moon's core unstable. He invested greatly in renewable exports such as agriculture. Joe retired in 2072, leaving the empire to his nephew, Doug. The former Brosonian emperor died of natural causes on his birthday in 2109, at the age of 104.
Knights! Trouble Afoot!

## Медиа

### Трек

«**Knights! Trouble Afoot**» (рус. *Рыцари! Беда в пути!*) — это 12-й трек в альбоме саундтреков *TS!Underswap*. Он играет во время битвы с Рыцарями Руин.

## Интересные факты

* Эта композиция является оригинальной и не имеет аналога из *Undertale*.
* Если начать бой с рыцарями после убийства 20 или более монстров в Разрушенном Доме, то скорость и тональность данного трека станет ниже на 5%. Скорость и тональность также снижаются на 5% за каждого убитого рыцаря.
* В файлах первой демоверсии этот трек разделён на две части — «`knight_intro`», начало трека длиной в 16 секунд, и «`knight_main`», остальная часть композиции с продолжительностью в 1 минуту и 5 секунд.

 11 - 20
 21 - 30
 31
 Бонусные
Joey

*Not to be confused with Joe*

Joey is a hamster of the hamster species "Krapovius", one of the three species of non-humanoid intelligent life on Terra, and the only one of the three species with the ability to speak.

## Species

Joey is a Krapovius hamster, a subspecies of hamster which is on average 2 feet in height and 40 pounds in weight. They are also known for their immense black eyes, which are usually around five inches in diametre. The average Krapovius lifespan is 19 years, with each year corresponding to approximately 4.3 human years.

## Life

Joey was born on February 14th, 2017, and was purchased by the Brosun family as a pet. Joey aspired to become a singer on Broadway, but was never able to fulfill this desire as Chuck did not approve of it. In 2032, Joey moved to BrosunWorld.

## Death

Joey died of natural causes in 2040 at the age of 23, which is equivalent to approximately 99 human years.
Revenge Gang

The Revenge Gang is a group consisting of Watt, Nelly, and Manuel.

## Members

### Watt

Watt was a teenager who made the mistake of littering on Chuck Brosun's sidewalk. Chuck then asked his friend Jeff to mangle the teen with his street cleaner. Jeff obliged, and Watt ended up in a dumpster and was found barely alive by Manuel, who repaired Watt cybernetically.

### Manuel

Manuel was Chuck's high school nemesis. Manuel had bought sunglasses for him and his brother, but they were lost and then taken by Chuck and Mac. The following day, Manuel's brother was struck and killed by a truck, which Manuel attributed to Chuck stealing the glasses. After graduating from Sparkson Secondary School, Manuel became a garbage man.

### Nelly

Nelly was Chuck's ex-girlfriend. One day, she wanted to go for a joyride in a rented Chevrolet Corvette with Chuck. They drove from Nevada to Wyoming. She then went off a huge ramp which they inexplicably found on the side of the road, and was launched into space, where she presumably died and went into orbit around the Earth. Chuck had escaped just in time. Her ghost was summoned by Watt and Manuel, as Manuel knew about this incident.
Momo

Momo is a member of Etherea, is a part of the subunit CosMyrrh. She is known as the "Clumsy Astrologist".

###

## Appearance

Momo is a small teenage girl with long vanilla cream hair with a tint of aqua at the ends, that is styled into two pigtails,held with green ribbons. She has bright emerald eyes. Momo is usually wearing a green military parka jacket, a pink polka dot sleeveless blouse, navy blue denim shorts, and orange high tops.

# == Pesonality
A very bright, yet clumsy and forgetful, well-mannered girl. Due to her forgetful tendencies, Momo always carries a notebook around her to write down every moment she has with everyone so she would never forget them. Another thing she also does is writes down what stars remind her of someone. Momo is really into stargazing and would literally stop whatever she is doing just to stare up at the stars and begin to name them.
Natsuki Hotaru

Natsuki Hotaru is a member of Etherea, and is part of the sub unit Dangos.

## Personality

Hotaru may seem loud and bubbly to some but that is only around her family, and close friend Umeko. She is actually rather shy and withdrawn, but she dreams of changing that about herself. Vowing to become a more open individual, she tries to make more friends with no results, so she decided she was fine with Umeko as she enjoyed all her moments with her, especially when it was about *Kiratto Stars*. She is a kind, helpful person who has a love for fantasy novels and writing song lyrics, which she keeps hidden away as she views herself as not good enough. Hotaru gets embarrassed and confused rather easily, sometimes becoming frustrated because of how confused she is. Due to her cute sounding voice, Hotaru doesn't suit EDM or rock music; wishing she could change that aspect about herself as well as they are her favourite genres. She isn't much of a sweet tooth but on rare occasions, you can find her sucking a lollipop in secret.

## History

### Before Etherea

Hotaru was raised by her loving parents, Natsuki Asahi (father) and Natsuki Yui (mother). As a young child, she has always had a keen interest in the entertainment industry, even getting the chance to see the behind the scenes of voice acting and idols which was all thanks to her father being in the industry. However, her father left the idol industry to spend time with his family but it was with his recommendation of becoming an idol, that gave Hotaru the final push she needed to join Etherea and become an idol in Dangos.

### Meeting Umeko

When Hotaru was in second grade, waiting for school to begin, she came across a first grade student who appeared frightened. Feeling the urge to see what was wrong, she walked up to the girl and found out she was lost. Wanting to help, she tried her best to find the girl's classroom but her lack of direction and information got them more lost then they needed to be. Giving up, she and the young girl, called Umeko, decided to keep each other company outside a nearby classroom while waiting for an adult to come into sight, forming a close bond in the process.
Michi Ueda

Template:Parent Tab

Art By Riika

Michi Ueda is character in Etherea. She is part of the sub-unit Umbrea and is voiced by Nori

## Appearance

 Michi has Auburn hair with Tan skin and eyes which straddle the line between green and hazel.

## Personality

Michi is both a kind and heartwarming soul with a motherly spirit who will make you food if you ask. Though she does have a tendency to be spaced out in most occasions, and is both easily embarrassed and empathetic, as she does try to act cool but she is not convincing in the slightest.

## Trivia

* She is quite clumsy
* Enjoys Cooking and Baking
* Enjoys Playing Guitar
* Enjoys Writing Songs
* Loves Snake
* Secretly loves Idols

* She usually wears a hat, or some kind of hair accessory
* She is half-Japanese (mom), half-Brazilian (dad)
* She’s bilingual
Мигосп

**Мигосп** (англ. *Migosp*) - это монстр, встречающийся в Руинном Доме.

## Описание

### Внешность

Мигосп — это монстр, похожий на таракана — коричневый, у него есть две руки, две ноги, два усика.

### Личность

Этот монстр достаточно груб — при попытке заговорить, когда рядом кто-то ещё есть, ответит: *«МНЕ ВСЁ РАВНО»*. Однако, когда Мигосп остаётся один, он сразу становится спокойным и даже радостным.

## В бою

### Атаки

* Если он остался единственным противником, то по бокам поля боя будут ползать тараканы, а также будет сам Мигосп, танцующего внизу поля. Прикосновение с ними причиняет повреждение протагонисту.
* Также по полю может пролететь всего один Мигосп, от которого можно легко уклониться.

### Стратегия

* Чтобы пощадить Мигоспа, нужно попросту победить его напарника, после чего он изменит злобную рожицу на улыбающуюся и начнёт танцевать. После этого можно завершить бой.

### Цитаты

* *Взмахивай руками, из стороны в сторону!~* **[Один]**
* *Хийя~* **[Поговорить, один]**

### Текст в бою

* *Я говорю "Приветик!" Мигоспу. Кажется, на этот раз он не шипит.* **[Поговорить, один]**
* *Мигосп больше не чувствует давления, чтобы драться со мной..* **[Один]**
Fire Newts

**Approx. Level:** 10

Brithbarad has been abustle about rumors of an underground
cavern located somewhere north of the city.
Several orcs have come home with fiery lacerations on their bodies, but
they are silent about it and only curse their luck at not finding the treasures
believed to have been there.  Reports of
strange, red lizards have been the talk of the town as well, and many believe
these creatures responsible for an orc chieftain who was found dead from
burning scars just outside the rumoured area.

**Directions to Zone:**

From at the gates of Brithbarad > speed 3ese6nw2n3wn3w
> “move rock” > head west and down to get into zone.

**Pro Tip**: This is
a great place for a low level mage run. Since the obvious use of cold spells,
and none of the newts are agro.

**Level 1:**

This area just has a bunch of small fire newts. If you “jump north” in the room at the far north east (circled in red), there is more.

*NOTE*: “Climb
south” to return.

**Level 2:**

The (2) sulfur toads and (3) young fire drakes are agro, but don’t move. The small and large fire newts are not agro. I believe have their locations marked correctly (red = drake, blue = toad). Pretty sure the drakes skin for teeth and skulls.

Room #75043 – need a small chisel to get access to a gem.

**Ash Newts:**

At the far west of level two is the entrance to the Ash Newts zone. 'climb west' to enter.
Umeko Yukimura

Yukimura Umeko is a member of Etherea, and is part of the subunit HallowBlades. Her older sister, Momoka, is also part of Etherea.

## Personality

Umeko is a very shy and girly girl, despite being a member of HallowBlades. She loves magical girls with a passion and has a strong love for the magical girl show *Kiratto Stars*, along with her friend, Hotaru. Umeko's love for magical girls is so strong that she secretly wishes to become a magical girl herself. Besides magical girls, Umeko has a love for fairytales and fantasy stories. She also loves certain subgenres of pop, rock, metal and EDM music despite her girliness. Even though she's a member of HallowBlades, Umeko can get very scared easily by quite a few things, including the dark, thunder, snakes, spiders, ghosts and zombies. Because of her cowardliness, Umeko dislikes Halloween and spends the night doing her own activities.

## Before Etherea

**Childhood**:

Umeko actually used to be a cheerful girl full of energy. However, one day during her 3rd year in elementary school, the class she was in at the time was presenting their dreams. Umeko, full of confidence and enthusiasm, told the class that she wanted to become a magical girl. However, the class didn't take her seriously and laughed at her, some students going to the point of making fun of her for such a silly wish. Traumatized by the event, Umeko's personality changed drastically, going from a cheerful and excited girl to an introverted and shy one, making it difficult for her to make friends.

Sometime shortly after the bullying, Umeko happened to find a worn out penguin plush. Inspired by the fact that they've both been "abandoned" in a way, she decided to salvage and fix the lost plush and keep it as her own. She named it *"Popo"* and has treasured it ever since as her fairy partner, giving her just enough courage to continue to chase her dream of becoming a magical girl. Despite this, Umeko still remains more reserved and shy around others, especially when it comes to her dreams.

## Relationships

**Momoka Yukimura**

**Hotaru Natsuki**

**Riika**

**Keyleth**

**Sky**
Sylvanus

Sylvanus is the subunit of the forest, and of the serene deep woods and nature. Their voices are elegant and captivating, like forest dryads. The energy and power of the singers give the listener tingles. Its members are Tari Moonlight, jasmine, and Meesong.

## Sylvanus

### Members

Anya TBA
Buse TBA
Hinata Kaneko TBA
JasmineTBA
Miharu Nakamura TBA

## Voice Actors

 Buse
 Hinata Kaneko
 Jasmine
 Miharu Nakamura
Twisted cubic curves

A twisted cubic curve is a rational normal curve in **P**3, i.e. a rational curve of degree 3 that does not lie in a plane. An example is the image of the map [ x : y ] -> [ x^3 : x^2 y : x y^2 : y^3]. The wikipedia page on twisted cubics has many interesting properties.

## Properties

* Any two twisted cubics are related by a projective change of coordinates.
* Furthermore, any two parametrized twisted cubics are related by a projective change of coordinates.

## Natural bundles and sheaves

* The normal bundle to a twisted cubic is a rank two vector bundle on **P**1, hence splits by the Birkhoff-Grothendieck theorem. It is isomorphic to O(5) \oplus O(5).

## Moduli

* There is a 12-dimensional family of twisted cubics. It can be constructed as a quotient of an open subset of **P**15 (the projective space of 4-tuples of cubic polynomials in x and y) by the action of PGL(2).
* There are natural compactifications of this space, such as the Hilbert scheme H... or the moduli stack M... of genus-zero unmarked stable maps to **P**3 of degree 3.

## Generalizations

* Rational normal curves
* Curves in **P**3
Momoka Yukimura

Momoka Yukimura is one of the members of Etherea, and part of subunit NepiTune. Her younger sister, Umeko, is also a member of Etherea.

## Personality

Momoka is a very cool and calm young girl, though sometimes this can lead to a rather cold and expressionless first impression. As with most first impressions, this couldn't be more wrong; Momoka can be a very warm, cheerful and loving friend.

Way before her position as an idol, Momoka has a passion for baking, often showing up to rehearsals with trays of cakes, cookies and sweets - though she couldn't cook a savoury dish to save her life. One of her biggest aspirations is to run and cook for her very own bakery.

On stage, Momoka puts on a rather shy, sweet and almost dandere persona, the contrast being somewhat shocking to most.
Nami Takeuchi

Nami Takeuchi is a member of Etherea, part of the subunit NepiTune

## Personality

Nami is into living life large. She's always positive and mellow, and her laid-back attitude is totally contagious. It's a weird combination of confident and cute. She has a super short attention span and blacks out the conversation if it’s boring. Nami is easily excited and unpredictable. On the surface, she does not appear to take anything seriously, but finds unique ways of dealing with everyday problems. She loves her surfboard which she named ‘Rocky’ and is surfsexual.
Kyouki Xenon

Kyouki's Icon made by Riika

Kyouki Xenon is a member of Etherea, and a part of the subunit, CosMyrrh. Besides being a vocalist, she is also in charge of designing and making the stage costumes for her subunit.

## Appearance

Kyouki is a short girl with very long, light purple hair (#ad71c6) which is wavy at the ends. She has light purple (#c392e7) eyes and her image colour is also purple (#bb83d2).

Kyouki will always be seen with a crescent-shaped accessory or pattern somewhere on her, and she likes to wear gemstones and crystals as accessories too. For casual wear, Kyouki prefers oversized clothing like jackets and cardigans, and usually coordinates them with shorts. However, when performing on stage, she has a stubborn insistence on wearing skirts and dresses.

## Personality

Kyouki is a seemingly cold and distant character who does not interact much with others. She finds it difficult to express her feelings around others, creating the impression that she's unapproachable and thus forming a barrier between herself and most other people. However, she actually holds deep affection for all her subunit members, and is very protective of them. She is usually immune to others hurling insults at her, but if she finds someone bad-mouthing her subunit members, you will find her returning fire to the person.

Kyouki is very unconfident about herself and often mentions that she feels perplexed about receiving compliments. However, she does her best to thank and appreciate people when they offer her compliments instead of brushing them off. She also strives to meet everyone's expectations and to present the best side of her, and shows no sign of weakness from the moment she steps onto the stage.

Kyouki is a closet chuunibyou (中二病) as well. She is fascinated by stars and constellations and the wide, mysterious galaxy out there waiting to be discovered. Catch her during her free time and you will find her fiddling with rune stones, tarot card decks and oracle decks. She does not show it but she believes in magic and lores (which is why she likes collecting and adorning herself with gems and crystals). With the exception of this, Kyouki is essentially a logical and rational individual who will bore you with delivering her logic lectures and deliver you the cold hard truth even if you would rather not hear it.
Аризона/Цветовые палитры

## Обзор

Альтернативные цветовые палитры для Аризоны которые могут быть выбраны перед боем. В зависимости от того, что вы используете, вы можете использовать клавиши со стрелками или стик контроллера чтобы переключаться между палитрами. Чтобы выбрать палитру, используйте клавишу Enter для клавиатуры или кнопку Start для контроллеров.
莱缇伊尔

主负责人:kezhexin

地图
--

介绍
--

国家近于共和政体，为议会制

国家政权为五个势力掌控

分别为学院（人类），学院（精灵），帝国商会，工匠协会，兄弟会。

学院（人类）为最大的势力，主导议会，每任议长有其领袖担任，但因为其大多无心于政治，仅有小部分人用心于政治，致力于势力间的平衡和国家的稳定。城市的魔能科技和科技的研究属于其掌控范围。

学院（精灵）是为忒亚部分加入莱缇伊尔的精灵，致力于魔法运用与研究。

帝国商会是为全大陆性的商人组织，部分定居于此，并渐渐有了影响力。

工匠协会是为研究物理科技的工匠们组成的协会，城市的大多对外交通维护由其掌控。

兄弟会则为国家阴暗面的象征，城市地下势力的代言人。

国家
--

国家国土为北陆大部分区域。

由莱缇伊尔城，莱缇伊尔矿坑，哈瓦尔镇等部分组成。

人民本是离开的帝国的流亡者，于此沟通自然或者使用水晶进行科研，造就了国家的本身，因国家是为绝对中立，故而吸引了各路人物汇集于此。

国家农（因为类德鲁伊职业的存在）、商业（中立国）发达，科技水平较高，但是国土较小，人口不多。

莱缇伊尔城也曾遭受战争，因为人民的不屈与地势的险要以及城墙的厚重守住了城市。
Matsura Chika

Chika in cosplay. As it may seem, Chika often changes her hair color from light to dark grey

## Other

### CV

ChiKa

Matsura Chika is one of the members of Etherea, and part of subunit Cosmyrrh.

## Personality

Generally a calm person of nature. A mother-like figure who acts sometimes childish/devilish. She loves video editing and is pretty good at it; she even did a CM for a Japanese food commercial. In Cosmyrrh, she can show more of her childlike personality but when she’s outside, she shows a lot more maturity around others. Her favorite music genres include Classical, Future Bass, and often times Jazz. Because she is a bilingual person, she often speaks a lot of French in her sentences. Not everyone understands what she says, but it's as common thing for her. Her favorite club at school is the Calligraphy Club where she practices Japanese writing.

## History

Chika lives in a very large French-country style home with her cat, Lily. She lives alone but her parents are still alive in Belgium in a large wine business.  Because of her parents always busy at work, she lives by herself in the home with her Father providing rent. She has not always been exposed to idol stuff until age 15 where she started getting into Idol music. At youth, she was thought to be the perfect little girl; for a while she was taught classical piano..She still plays it today but nobody really knows about it. She was also taught to sing at the same time when her parents put her in a local choir group. At age 16, she began to look for a job to better her skills. She found a local idol audition (Etherea) where they chose her to join Cosmyrrh. Today, she is now a prominent member of the group and juggles school at the same time.
Suki Tanaka

## Tanaka Suki

At first Suki seems shy and anxious but once you get to know her she's energetic.

## Particulars

### Charm Point

Her bubbly personality and her love for animals, especially her 4 bunnies and snake!

Tanaka Suki is a member of Etherea, and is part of the subunit Orchidia.

## Personality

In social situations or when meeting new people Suki gets super shy but once she’s comfortable with you and considers you a friend she becomes the complete opposite! She’s super energetic, eccentric, loud and doesn’t know when to shut up. She loves bad puns and struggles to stand still. She will do anything for her friends, even if it puts her in a situation that gives her anxiety. She loves animals and has 4 rabbits named Millie, Rocky, Fudge and Butterscotch and a snake named Fluffy.
Sgt. Jobs

Sgt. Jobs is a survivor in the novel Undead released in 2018 he helped Alejandro Jones escape the hospital in new york.

## Sgt. Jobs

### Label

Pre Z: Navy SealsPost Z: Unknown

Father: Unknown

Mother: Unknown

Brother: Joseph Jobs

Sister: America Jobs(Decreased)

### Label

Status: Dead

First Appearance: Chapter 1: The Begnnining

Last Appearance: Chapter 2: Alejandro's New Friend

Series Lifespan: Chapter 1- Chapter 2

Cause of Death: Devoured by Zombies Shot in the head by

```
Alejandro Jones
```
To-Do for EVSSS

## Add pages

* Products of projective spaces
* Weighted projective spaces
* Quadric cone
* Plane curve singularities
* Genus-zero curve singularities
* Tacnodes
* Blowup of **C**2 at a point
* Blowup of **P**2 at a point
* Iterated blowups of **C**2
* M00, M01, M02
* M03bar
* M04bar
* M05bar
* M06bar
* Rational normal scrolls
* Elliptic curves with extra symmetries
* Determinental varieties
* GL(n)
* SL(n)
* PGL(n)
* PSL(n)
* SO(n)
* SP(2n)
* Symmetric products
* Symmetric products of curves
* Symmetric products of projective spaces
* Surface singularities
* ADE singularities
* Chow varieties
* Orbifold curves
* Hurwitz spaces
* Plane quartics
* Del Pezzo surfaces
* Cuspidal cubic
* Nodal cubic
* Length-2 nonreduced scheme
* Length-3 nonreduced schemes
* Finite-length connected schemes
* Elliptically fibered surfaces
* Ruled surfaces
* Dual variety to a smooth variety
* Calabi-Yau manifolds
* Igusa quartic
* Horrocks-Mumford bundle on **P**4
* Moduli spaces of hyperplane arrangements
* Abelian varieties
* Finite-length connected stacks
* Singular stacky curves
* Moduli spaces of admissible covers
* Moduli spaces of quasimaps
* Hyperelliptic locus in Mg
* Trigonal locus in Mg
* Brill-Noether loci
* Fulton-Macpherson compactification
* Intersections of quadric surfaces

## Add sections

* Constructions (Presentations?)
* Related objects
* Moduli
* Universal family
* Natural maps to other objects
* Natural sheaves and vector bundles
* Interesting subvarieties/subschemes/substacks
* Group actions
* Jacobian
* Singularities
* Topology
* <math>d^2</math>-uple embedding
* Segre embedding
* Plucker embedding
* Canonical embedding
* Abel-Jacobi map
Lines in P2

A line in **P**2 is the vanishing of a homogenous polynomial of a degree 1.

## Enumerative geometry

* Through any two distinct points in **P**2, there is a unique line.

## Moduli

The moduli space of lines in **P**2 is naturally isomorphic to the dual **P**2.

## Generalizations

* Hyperplanes in projective space
* Linear subspaces of projective space
* Plane curves
Hypersurfaces in projective space

A degree d hypersurface in projective space is the subvariety of **P**n of a (usually irreducible) homogeneous polynomial of degree d.

## Moduli

The moduli space of degree d hypersurfaces in **P**n is isomorphic to the

(

(

n
d
1

d

)

−
1

)

{\displaystyle \left(\binom{n+d+1}{d}-1\right)}

-dimensional projective space of degree d homogenous polynomials in n+1 variables, up to scaling.

## Special cases

* Plane curves
* Surfaces in **P**3
* Hypersurfaces in **P**4
* Hyperplanes in projective space
* Quadric hypersurfaces
* Cubic hypersurfaces
* Quartic hypersurfaces
* Quintic hypersurfaces
Plane conics

## Moduli

The moduli space of plane conics is a 5-dimensional projective space of homogeneous degree two polynomials in 3 variables, up to scaling.

## Dual conics

The dual curve of a smooth plane conic is a smooth conic in the dual **P**2. The condition that the dual conic pass through a point in the dual **P**2 is equivalent to the condition that the original conic be tangent to the corresponding line, and vice versa.

## Enumerative geometry

* Through any five points, no three of which are collinear, there is a unique smooth conic. (This is found by intersecting hyperplanes in the moduli space.)
* There is a unique conic tangent to five fixed general lines. (This is proved using the above statement and dual conics.
* There are 3264 conics tangent to five fixed general conics.

## Special cases

* Line pairs in the plane
* Double lines in the plane

## Generalizations

* Quadric hypersurfaces
* Plane curves
* Degree two curves in projective space
Stable maps

Let X be a projective variety. A stable map to X is a map f:C -> X, where C is a nodal connected marked (prestable) curve, and only finitely many automorphisms of C commute with f. We say that f is a genus-g, n-marked stable map of degree d if C has genus g and n marked points, and f\_\*[C]=d.

## Moduli

For any choice of g, n, and d (other than (0,0,0), (0,1,0), (0,2,0), (1,0,0)), the moduli stack Mgn(X,d) is a proper Deligne-Mumford stack (with a canonical perfect obstruction theory and virtual fundamental class).
Space curves

Any smooth abstract curve can be embedded in **P**3 by first embedding it in some large-dimensional projective space via an ample line bundle, then projecting away from a linear subspace that misses the curve's 3-dimensional secant variety.

## Special cases

* Lines in **P**3
* Conics in **P**3
* Twisted cubic curves

## Generalizations

* Curves in projective space
* Codimension 2 subvarieties in projective space
Dimensionsschwamm

Der Dimmensionsschwamm wird die gewaltige Ansammlung an Dimensionen bezeichnet. Es existiert weder Zeit noch Raum auserhalb von Dimensionen. Dennoch scheinen manche Dimensionen weiter von einander entfernt zu sein als andere, da die Reisezeit zwischen Dimensionen tendiert.

## Struktureller Aufbau

"Innerhalb" des Dimensionsschwamm befinden sich unendlich viele, unendlich große Dimensionen. Eine Dimension ist ein unendlich großer Raum indem auch Zeit existiert. Zu beginn ist jede Dimension völlig Leer und ledigich durch äußere Einflüsse können manchmal Objekte oder Energie entstehen.

Innerhalb einer Dimension können Götter sogenannte Hyperräume erschaffen. Eine genaue Definition eines Hyperraums gibt es nicht. Normalerweise jedoch wird die Größe eines Hyperraums über seine Objekte definiert. In den meisten Fällen sind dies Himmelskörper oder Energien.

Pro Dimension existiert immer nur ein einziger Gott. Woher diese kommen und woher sie die Fähigkeit haben Hyperräume zu schaffen ist unbekannt. Es ist jedoch möglich, dass mehrere Hyperräume pro Dimension existieren.

Innerhalb von Hyperräumen gibt es meistens bewohnbare Himmelskörper. Zu 45% sind dies Planeten, Sterne und ähnliches. Jedoch gibt es auch andere Himmelskörper wie die Dimensionsrisse in der Socors-Dimension und die "Platte" im JJ. Es gibt auch Hyperräume ohne Himmelskörper wie Eputania in der Ox-Dimension. Er beherrbergt lediglich die 13 Bestien. Seine Größe wird auf den Aufenthaltsort der Bestien beschränkt.
The moduli stack of genus zero stable maps to Pn

The moduli stack of genus-zero stable maps to **P**n is a stack that parametrizes families of stable maps from n-marked genus-zero curves to projective space.

## Special cases

* M0nbar
* G(2,n)
* M0n(P1,d)
* M0n(P2,d)
* M0n(P3,d)
* M0n(P4,d)

## Generalizations

* The moduli stack of genus g stable maps to **P**n
* The moduli stack of genus zero stable maps to a projective variety
Smooth genus-zero stacky curves with generically trivial stabilizer

A smooth genus-zero stacky curve with generically trivial stabilizer looks like **P**1, with finitely many analytic discs D replaced with [D/µr] for some r. (The integer r may be different at different orbifold points.) To such a curve is naturally associated a smooth integer-marked genus-zero curve, by taking the coarse moduli space and marking the image of each orbifold point P with relevant integer rP (the **order** of P).

## Moduli

Via the map above, the moduli space M0orb is isomorphic to infinitely many copies of [M0n/G] for various n, where n is the number of orbifold points, and G is the subgroup of Sn that permutes orbifold points P1 and P2 if rP1 = rP2.

## Notation

We write **P**1(r1,r2,...) for any smooth genus-zero stacky curve with generically trivial stabilizer with orbifold points of orders r1, r2, ....

## Special cases

* **P**1(2) (this is the weighted projective stack **P**(1,2))
* **P**1(3)
* **P**1(4)
* **P**1(2,2)
* **P**1(2,3)
* **P**1(2,4)
* **P**1(3,3)
* **P**1(3,4)
* **P**1(2,2,2)
* **P**1(2,2,3)
* **P**1(2,2,2,2)

## Generalizations

* Smooth genus-zero stacky curves
* Genus-zero stacky curves with generically trivial stabilizer
(Marked) Genus-zero curves

A smooth connected curve of arithmetic genus zero is isomorphic to **P**1. A connected curve of arithmetic genus zero is isomorphic to a collection of **P**1s, joined at simple nodes, whose dual graph is a tree.

An n-marked genus-zero curve is a connected genus-zero curve, together with the data of n distinct smooth points p1,...,pn.

## Properties

* The automorphism group of **P**1 is isomorphic to PGL(2). Given three distinct (ordered) points of **P**1, there is a unique element of Aut(**P**1) sending those points to 0, 1, and \infty.

## Stable marked genus-zero curves

A connected marked curve of arithmetic genus zero is stable if every component of the normalization contains at least three points that are either nodes or marked points. Alternatively, if the dual tree is enriched with half-edges corresponding to marked points, then every vertex must have valence at least 3.

## Moduli

The moduli stack M0n of n-marked smooth genus zero curves is a smooth (n-3)-dimensional stack. It is Deligne-Mumford if and only if n≥3; in this case it is a smooth quasiprojective variety, isomorphic to (**C**\{0,1,\infty})n-3 with all diagonals removed.

The moduli stack Mbar0n of n-marked stable genus-zero curves is a smooth irreducible projective compactification of M0n for n≥3.
Projective spaces

## Presentations

* Projective space **P**n is given by the Proj construction applied to the ring **C**[x0,x1,...,xn].
* Projective space is the quotient of **C**n+1\{0} by **C**\*.

## Closed subvarieties

* Hypersurfaces in projective space
* Complete intersections in projective space

## Special cases

* **P1**
* **P2**
* **P3**
* **P4**

## Generalizations

* Weighted projective spaces
* Toric varieties
* Grassmannians
* Projective varieties
* Spaces with a torus action
* Spaces with an affine stratification
Abstract curves

An abstract curve is a 1-dimensional reduced (sometimes irreducible) scheme (of finite type over **C**).

## Properties

* A smooth irreducible abstract curve can be viewed as a Riemann surface.
* A connected abstract curve has an arithmetic genus (genus of a smoothing) and a geometric genus (genus of the normalization), which coincide when the curve is smooth. (They also coincide with the genus of the Riemann surface.)
* A disconnected abstract curve also has arithmetic and geometric genera, which can be defined by adding the genera of components, and subtracting 1 for each component after the first.

## Moduli

* For any genus g, there is a moduli stack of smooth connected abstract curves of genus g. For g≥2, this stack is Deligne-Mumford and has quasi-projective coarse moduli space. The moduli stack is smooth and irreducible. It has a smooth compactification ...

## Special cases

* Genus-zero curves
* Genus-one curves
* Genus-two curves
* Genus-three curves
* Nodal curves
* Marked curves
* Stable (marked) curves
Dnc Wiki

## Introduction to Dnc Wiki

Click edit to replace this paragraph with a description of your TV series for your readers. Keep it short and sweet.

## Welcome to the Wiki

This is a wiki, a website that anyone, including you, can edit. Go ahead, try it out! Use the buttons below to create your first episode and character pages.

Create an article about an episode by typing the title below:

Create an article about a character by typing the title below:
 Seasons

Create an article about a whole season by typing the title below:

## Pages created so far

* Dnc Wiki
* Fun and Games
* General Discussion
* Main Page
* New on Wikia starter pages
* News and Announcements
* Questions and Answers
Encyclopedia of Varieties, Schemes, Stacks, and Singularities Wiki

## Welcome to the Encyclopedia of Varieties, Schemes, Stacks, and Singularities Wiki

This wiki is intended to be an easily searchable collection of examples of varieties, schemes, and stacks (embedded and abstract), as well as their subvariety/scheme/stack structure, their singularities, connections and maps between them, as well as useful facts and pictures. As long as I am the sole contributor, it will be heavily slanted towards projective varieties over **C**, especially things related to moduli of curves.

There is an incomplete to-do list here

## Describe your topic

Write a description about your topic. Let your readers know what your topic is about and add some general information about it.

## Latest activity

Photos and videos are a great way to add visuals to your wiki. Find videos about your topic by exploring Fandom's Video Library.

File:Placeholder
Lines in P3

## Moduli

The moduli space of lines is **P**3 is isomorphic to the Grassmannian of 2-dimensional subspaces of **C**4, G(2,4).

## Enumerative geometry

* Through any two distinct points in **P**3, there is a unique line.
* Fix two general lines and one general point in **P**3: there is a unique line intersecting them all.
* Fix four general lines in **P**3: there are exactly two lines that intersect all four.

## Generalizations

* Space curves
* Lines in projective space
G(2,n)

The Grassmannian G(2,n) is the moduli space of 2-dimensional linear subspaces of **C**n. Since G(1,n) is the same as the projective space **P**n-1, G(2,n) is the first "interesting" example of a Grassmannian.

## Special cases

* Dual **P**2
* G(2,4)

## Generalizations

* Grassmannians
* The moduli stack of genus zero stable maps to **P**n-1
Moduli space of smooth n-marked genus-zero curves

## Presentations

* A smooth n-marked genus-zero curve is abstractly isomorphic to **P**1, with n distinct points p1,...,pn marked. If n≥3, there is a unique Mobius transformation that sends p1 to 0, p2 to 1, and p3 to \infty. Thus any smooth n-marked genus-zero curve has a canonical representative of this form; the data of the remaining marked points is parametrized by the open subset of ( **C** \ {0,1} )n-3 where all diagonals are removed. Thus M0n is isomorphic to ( **C** \ {0,1} )n-3.
* Alternatively, PGL(2) acts freely on (**P**1)n \ {diagonals}, and M0n is isomorphic to the quotient.

## Special cases

* M00
* M01
* M02
* M03
* M04
* M05
* M06
Hyperplanes in projective space

A hyperplane in **P**n is the linear subspace defined by a homogeneous polynomial of degree 1.

## Moduli

The moduli space of hyperplanes in **P**n is naturally isomorphic to the dual **P**n, via the map that sends a hyperplane to the defining polynomial (up to scaling).

## Special cases

* Lines in **P**2
* Planes in **P**3

## Generalizations

* Hypersurfaces in projective space
* Linear subspaces in projective space
Soccer Filler

This episode contains information regarding unaired/recently released episode(s) and/or project(s) of BACO. If you haven't seen the video, please, watch the video or read with risk.

## Episode guide

### Next

Papples And Apples

Soccer Filler is the second episode of BACO.

## Synopsis

### Cold open

Drumstick is hitting Big Nate Book again, Bandy tells her

to stop because she doesn’t deserve it. Drumstick asks

that Big Nate Book‘s a girl, in shock.

### After the intro

Hatchimal says that Upside Dupside has to go to

Cake At Stake.

### Cake at Stake

Colone, Ruler, Broosh, and Plug are safe with 0 votes,

Mic is eliminated.

### Challenge

The challenge is a soccer game,

 loses.
Götter

Götter sind Wesen die Innerhalb einer Dimension einen Hyperraum erschaffen. Sie werden meist mit besonderen begabungen und extermen Mächten geboren. Viele von ihnen waren die ersten Lebewesen ihrer Dimension. Sie gelten als Weise und äußerst Mächtig.
Wie Götter entstehen ist unbekannt. Auch warum sie in der Lage sind einen Hyperraum zu erschaffen ist nicht erforscht.
Bekannte Beispiele für Götter sind der Herr des Bel und Hart Abnormal.
The Blanket Of Despair

This episode contains information regarding unaired/recently released episode(s) and/or project(s) of BACO. If you haven't seen the video, please, watch the video or read with risk.

## Episode guide

### Next

Soccer Filler

The Blanket Of Despair is the first episode in Bland And Crappy Objects (also known as BACO).

## After the Intro

Broosh and Bandy question what‘s that in the distance,

Hatchimal greets himself saying he is a host stereotype.

Mic asks why she’s here, Hatchimal says that she was

eliminated in Inanimate Insanity Il episode 15 and she was

sent to this show. Colone asks that the contestants are all

here for a reason. Comic asks what the first challenge is.

Stapy and Yellow Face quit the show. Hatchimal states it‘s

time for Cake At Stake.

## Challenge

The challenge is to survive the deathly blanket.

The blanket goes on Colone’s team and lose.
Planet X

Planet X war bis zu seiner Zerstörung durch Hart Abnormal der Mittelpunkt der Universums. Er gehörte zum

## System Position

Position-grün (nicht maßtabsgetreu)

Punktsystem. Seine Nachbarplaneten waren Planet Y und Planet Z.

## Bewohner

Die Bewohner des Planeten waren die Erdratsab. Da diese jedoch kurz davor waren, das Gesamte Universum in sich zusammenfallen zu lassen, zerstörte Hart Abnormal Planet X und tötete seine Bewohner.
Papples And Apples

***"Why don’t you just get out if you’re gonna complain about it.- Hatchimal***
This page is under construction.
If you’d like to expand this page, you are allowed to.

This episode contains information regarding unaired/recently released episode(s) and/or project(s) of BACO. If you haven't seen the video, please, watch the video or read with risk.

## Episode guide

### Next

Project Stapy

Papples And Apples is the third episode of BACO.
Hatchimal

* Cartoon
* Real Life

“Stop with the goofy goice.” -Drumstick
This article or section is a **stub**. You can help BACO Wiki by expanding it with more information! (visual edit)

**Hatchimal** is the host of Bland And Crappy Objects.

## Personality

**Hatchimal** is very unfunny and likes to tell jokes. He also seems to hate the contestants.
Gsie

Der Magierschmied Gsie ist der Schmied des Sword of Destiny. Seine einzigartige Fähigkeit aus schwarzer Massekraft zu schmieden brachte ihm sehr hohe berühmtheit.

## Leben

Gsie war zur Zeit des Angriffs der Antiken Verbündeten schon sehr bekannt im Bel. Jedoch weiß niemand wer Gsie genau ist. Es ist lediglich bekannt, dass er wohl irgendwo in der Hes-Galaxie im Universum geboren ist. Er scheint jedoch der letzte seiner Rasse zu sein, da niemand weiß was er ist.

Als er von Zaika und Boone beauftragt wurde ein Klangschwert aus schwarzer Massekraft zu fertigen, musste er für vier Tage seine gesamte magische Kraft aufwenden. Das Sword of Destiny gilt daher als sein ultimatives Werk. Außer ihm ist keiner bekannt, der mit schwarzer Massekraft schmieden kann.

## Schmiedekunst

Seine Schmiedetechnik beruht auf der der antiken Kesahen und wird Schwungschmieden genannt. Dabei wird ein übergroßer Schmiedehammer benutzt, der einem Kriegshammer gleicht. Durch den enormen Schwung kann man beim schmieden sehr stabiles Material verwenden. Gsie kombiniert diese Technik mit seiner Magie und erschuf somit eine ganz neue Art des schmiedens.

Aus welchem Material sein Hammer besteht, wird von Gsie geheim gehalten. Auf ihm sind Magische Zeichen in der Ins-Sprache geschrieben.