bluuebunny/crossref_metadata_2025 huggingface dataset:
Circulatory shock in adults in emergency department
Authors: Pannu Ashok Kumar
Published: January 2023

Circulatory shock is a common condition that carries high morbidity and mortality. This review aims to update the critical steps in managing common types of shock in adult patients admitted to medical emergency and intensive care units. A literature review was performed by searching PubMed, EMBASE Ovid, and Cochrane Library, using the following search items: (“shock” OR “circulatory shock” OR “septic shock” OR “cardiogenic shock”) AND (“management” OR “treatment” OR “resuscitation”). The review emphasizes prompt shock identification with tissue hypoperfusion, knowledge of the underlying pathophysiological mechanism, initial fluid resuscitation with balanced crystalloids, norepinephrine as the preferred vasopressor in septic and profound cardiogenic shock, and tailored intervention addressing specific etiologies. Point-of-care ultrasound may help evaluate an undifferentiated shock and determine fluid responsiveness. The approach to septic shock is improving; however, confirmatory studies are required for many existing (e.g., amount of initial fluids and steroids) and emerging (e.g., angiotensin II) therapies. Knowledge gaps and wide variations persist in managing cardiogenic shock that needs urgent addressing to improve outcomes.
Lupus Erythematosus with Segmental Anhidrosis
Authors: Geetha K.
Published: January 2023

Systemic lupus erythematosus (SLE) is a multisystem connective tissue disorder that also affects all the components of the neurological system, such as autonomic, peripheral, and central nervous systems. There was no link between autonomic dysfunction and lupus activity or the presence of peripheral neuropathy. Anhidrosis and hypohidrosis are most usually caused by local skin injury (e.g., related to trauma, radiation, infection [e.g., leprosy], or inflammation) or gland atrophy caused by connective tissue illness (e.g., systemic sclerosis, systemic lupus erythematosus, and Sjögren syndrome). Drugs, particularly those with anticholinergic effects, can possibly induce it. Diabetic neuropathy, thyroid problems, and other factors might potentially contribute to it. Here is a rare case report of patchy segmental anhidrosis with compensatory hyperhidrosis as the presenting manifestation of SLE treated with topical sunscreen, topical glycopyrrolate, and oral hydroxychloroquine with mild clinical improvement. However, anhidrosis showed no improvement.
An ethnographic approach to understand cultural perspectives of tribes on branding practice for sick children in Odisha, India
Authors: Jena Shubharanjan , Sahoo Krushna Chandra , Modak Biswajit , Epari Venkatarao , Satpathy Sudhir Kumar , Kaur Harpreet , Pati Sanghamitra
Published: January 2023

Background & objectives:

Traditional beliefs on child healthcare at time lead to potentially harmful practices like branding. However, there is a gap in people’s perceptions, attitudes and beliefs about branding practice. Therefore, the present study was undertaken to document the cultural motivation, ability and opportunity for branding practice in a tribal district of Odisha, India.

Methods:

Initially, such practices were observed in the tribal community for three months. Then, 18 in-depth interviews were conducted - ten among women having under-five children, and eight among traditional healers. Six focus group discussions were conducted with community health workers as well. The responses were digitally recorded, transcribed and translated and were further used for thematic framework analysis.

Results:

The primary determinants of branding practice were cultural beliefs compounded with low-health literacy, proximity to conventional care and influence of family and friends. The key driver for branding practices was traditional cultural beliefs on child healthcare decisions and health-seeking behaviours. Opportunities in the health system – availability and quality of health services – frequently drive them to seek healthcare from the system structure and routine health communication improves their ability to make better healthcare decisions.

Interpretation & conclusions:

Culture significantly affects the conceptualisation of illness and care-seeking pathways in a society. The indigenous community used to consult local traditional healers for their health concerns. While the government has made efforts to increase community health literacy through various platforms and multiple stakeholders’ engagements, the doorstep availability of modern care and health promotion interventions remains critical for meeting the health needs of the indigenous community.
Field test and reporting of disaster waste mapping in flood-affected areas of Kodagu district
Authors: Narasimha B. C. , Kamath Ramachandra , Udayar Sharvanan Eshwar , Madeshan Ashwini
Published: January 2023

Introduction:

Floods are the most commonly occurring hydrological disasters in India. The disaster wastes (DWs) produced in floods involve various departments to clear the waste and consume more resources. Thus, the study was conducted to assess the type and visual quantity of DW during the initial recovery phase in flood-affected areas of the Kodagu district.

Materials and Methods:

A qualitative study was conducted in randomly selected 10 flood-affected areas in September 2019. Data were collected by a structured questionnaire and analyzed using Epi Info version 7.2.

Results:

The DWs were present in all 10 areas and it was classified into seven types. Out of 10 flood-affected areas, the majority of the areas had packaging wastes (nine areas) and bedding/furniture/cloth/textile waste (nine areas), followed by rubble/building material (six areas), electrical/electronic waste (five areas), food waste (three areas), and toxic/harmful/hazardous waste and biomedical waste/hospital waste (two areas). The total DW visual quantity was 6220 kg and was highest for rubble/building material DW.

Conclusions:

The DWs were containing both biomedical and nonbiomedical wastes. The wastes clogged the canals and polluted mainly water and soil. The visual quantity of DW was more and clearing the waste was difficult without the vehicles.
Predicting clinical outcome with computed tomography severity score in COVID-19
Authors: Pany T Preeth , Theckumparampil Nithin , Natarajan Aravintho
Published: January 2023

Introduction:

COVID-19 is a major public health burden in the world, and chest computed tomography (CT) is the ideal imaging modality to diagnose and monitor disease progression.

Objectives:

The objective was to review the common and uncommon chest CT findings of patients with COVID-19 and to correlate the CT findings with short-term prognosis.

Methods:

All patients who had laboratory-confirmed COVID-19 infection and underwent CT scan were reviewed. The imaging features and the distribution of abnormality were evaluated. A CT severity score (CT-SS) system out of 40 was used. Mann–Whitney U-test and Chi-square or Fisher's exact test were used for analysis. Two-sided P < 0.05 was considered statistically significant. A receiver operating characteristic curve analysis was performed to calculate the CT-SS cutoff for hospital admission and intensive care unit (ICU) admission.

Results:

A total of 149 individuals were eligible. The most common imaging features were ground-glass opacities (GGO) (88%), septal thickening (70%), and reticulations (50%). The least common imaging features were pneumothorax (1%) and vascular enlargement (1%). The most common distributions of GGO were bilateral (92%) and multifocal (95%), with peripheral (100%) and lower lobe predominance (77%). A higher CT-SS had a significant association with longer hospital stay and ICU admission, with CT-SS of 18 and 10 being optimal cutoff, respectively.

Conclusion:

Our study is one of the few studies to correlate the imaging finding with clinical outcomes in the south Indian population. The common findings in our study were consistent with the literature. CT-SS plays an important role in predicting prognosis.
A cross-sectional study of adverse cutaneous drug reactions with special reference to reaction time
Authors: Deepthi P. , George Sandhya , Sanker Anita , Asokan Neelakandhan
Published: January 2023

Background:

Adverse cutaneous drug reactions (ACDRs) present with different morphologies and times of onset. Knowledge about the common drugs causing them, their reaction time (time interval between drug intake and the onset of symptoms), and the clinical presentations are helpful in identifying an offending drug, especially in the setting of multiple drug therapies, thereby reducing the morbidity and mortality associated with them.

Aims:

This study aims to identify causative drugs and clinical patterns of ACDRs in a tertiary care center and to estimate their reaction time.

Methods:

Sixty-two patients diagnosed to have ACDRs who attended the department of dermatology of a tertiary care teaching hospital during an 18-month period were selected for the study. They were classified into certain, probable, or possible categories as per the World Health Organization-Uppsala Monitoring Centre (WHO-UMC) classification. The frequency of each type of drug reaction, common causative agents, and reaction time of different drug reactions was analyzed.

Results:

Of the 62 patients, 40 (64.5%) were probable, 18 (29%) possible, and 4 (6.4%) were certain. The most common types of reactions encountered were fixed drug eruption (FDE) (13, 21%), drug hypersensitivity syndrome (12, 19.4%), and maculopapular rash (9, 14.5%). As a single group of drugs, antimicrobials were the most common causative agents (23, 37%) followed by anticonvulsants (16, 25.8%). As an individual drug, phenytoin was the most common causative agent (10, 16.1%), followed by paracetamol (7, 11.3%) and isoniazid (5, 8.1%). Reaction time varied from less than an hour for FDE and urticaria to 3–4 months for exfoliative dermatitis, lichenoid eruption, and folliculitis.

Limitations:

Small sample size was the major limitation.

Conclusion:

Reaction time varied from less than 24 h in FDE, urticaria, and angioedema to 3–4 months in exfoliative dermatitis, lichenoid eruption, and folliculitis.
Sphenoid Sinus Mucocele
Authors: Swain Santosh Kumar , Baliarsingh Prasenjit
Published: January 2023

Background:

Sphenoid sinus mucocele is a benign expansile mucus-filled cystic lesion as a result of chronic obstruction of the sinus ostium. Because of its expansile, growth may affect nearby vital structures and result in the involvement of optic nerve and intracranial structures.

Objective:

This study aims to evaluate the details of patients with sphenoid sinus mucocele.

Materials and Methods:

In 5 years, we reported eight patients with mucocele in the sphenoid sinus. The detailed clinical presentations of these patients were documented. All the patients with sphenoid sinus mucocele were investigated with diagnostic nasal endoscopy and imaging such as computed tomography scan and magnetic resonance imaging (MRI) of the nose, paranasal sinuses, and brain. All underwent transnasal endoscopic transsphenoidal marsupialization of the mucocele in the sphenoid sinus.

Results:

There were eight patients diagnosed with sphenoid sinus mucocele. Out of eight patients, five (62.5%) were male and three (37.5%) were female with a male-to-female ratio of 1.66:1. The mean age of enrolled patients was 48.37 years. Out of eight patients with sphenoid sinus mucocele, three (37.5%) patients had allergic rhinitis, two (25%) patients had chronic sinusitis, and one (12.5%) patient had a history of radiation therapy for nasopharyngeal carcinoma.

Conclusion:

Sphenoid sinus mucocele is a rare clinical condition. In this study, headache was the most common symptom. Allergic rhinitis, sinusitis, and radiation to the head-and-neck region are important predisposing factors for causing sphenoid sinus mucocele. Orbital symptoms are indicators for prompt surgical intervention. Endoscopic sinus surgery is an effective and safe treatment option for sphenoid sinus mucocele.
Role of Topical Intranasal Corticosteroid for Treatment of Post-COVID Olfactory Dysfunction – Our Experiences
Authors: Swain Santosh Kumar , Panda Swaha , Sahu Ansuman , Pani Somya Ranjan
Published: January 2023

Background:

The coronavirus disease 2019 (COVID-19) is a highly contagious acute respiratory disease caused by a novel virus called severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). COVID-19 infection presents with respiratory illness and even respiratory failure and death. Olfactory dysfunction is an important clinical manifestation that has an impact on quality of life.

Objective:

This study is designed to analyze the role of the topical nasal corticosteroid in post-COVID olfactory dysfunction.

Materials and Methods:

This is a prospective and descriptive study on 72 COVID-19 patients who were administered topical intranasal corticosteroids and olfactory training. All of them were diagnosed with COVID-19 infection by reverse transcription–polymerase chain reaction of the nasopharyngeal swab. The detailed clinical examination and treatment with intranasal corticosteroid and its outcome were analyzed.

Results:

In this study, 46 (63.88%) patients were male and 26 (36.11%) were female with a male-to-female ratio of 1.76:1. The age ranges from 18 to 58 years. There were 30 (41.66%) patients in the age range of 18–30 years and 42 (58.33%) patients in the age range of 31–58 years. Out of 72 patients, 11 (15.27%) patients recovered after 2 weeks, 34 (47.22%) patients recovered after 3 weeks, and 20 (27.77%) recovered after 4 weeks. Three patients lost to follow-up during the treatment period.

Conclusion:

COVID-19 infection is spreading quickly all the continents of the world. Olfactory dysfunction is an important symptom of the COVID-19 infection. Intranasal mometasone spray and olfactory training are useful treatment options for post-COVID olfactory dysfunction.
Calculation of Rozansky–Witten invariants on the Hilbert schemes of points on a K3 surface and the generalised Kummer varieties
Authors: Nieper-Wißkirchen Marc A.
Published: January 2023

For any holomorphic symplectic manifold

(X, \sigma)

, a closed Jacobi diagram with

2k

trivalent vertices gives rise to a Rozansky–Witten class

\operatorname{RW}_{X, \sigma}(\Gamma) \in \mathrm{H}^{2k}(X, \mathcal O_X).

If

X

is irreducible, this defines a number

\beta_\Gamma(X, \sigma)

by

\operatorname{RW}_{X, \sigma}(\Gamma) = \beta_\Gamma(X, \sigma) [\bar\sigma]^k

.

Let

(X^{[n]}, \sigma^{[n]})

be the Hilbert scheme of

n

points on a K3 surface together with a symplectic form

\sigma^{[n]}

such that

\int_{X^{[n]}} (\sigma^{[n]} {\bar\sigma}^{[n]})^n = n!

. Further, let

(A^{[[n]]}, \sigma^{[[n]]})

be the generalised Kummer variety of dimension

2n - 2

together with a symplectic form

\sigma^{[[n]]}

such that

\int_{A^{[[n]]}} ( \sigma^{[[n]]} {\bar\sigma}^{[[n]]})^n = n!

. J. Sawon conjectured in his doctoral thesis that for every connected Jacobi diagram, the functions

\beta_\Gamma(X^{[n]}, \sigma^{[n]})

and

\beta_\Gamma (A^{[[n]]}, \sigma^{[[n]]})

are linear in

n

.

We prove that this conjecture is true for

\Gamma

being a connected Jacobi diagram homologous to a polynomial of closed polywheels. We further show how this enables one to calculate all Rozansky–Witten invariants of

X^{[n]}

and

A^{[n]}

for closed Jacobi diagrams that are homologous to a polynomial of closed polywheels. It seems to be unknown whether every Jacobi diagram is homologous to a polynomial of closed polywheels. If indeed the closed polywheels generate the whole graph homology space as an algebrea, our methods will thus enable us to compute
all
Rozansky–Witten invariants for the Hilbert schemes and the generalised Kummer varieties using these methods.

Also discussed in this article are the definitions of the various graph homology spaces, certain operators acting on these spaces and their relations, some general facts about holomorphic symplectic manifolds and facts about the special geometry of the Hilbert schemes of points on surfaces.
Multipliers of improper similitudes
Authors: Preeti R. , Tignol J.-P.
Published: January 2023

For a central simple algebra with an orthogonal involution

(A, \sigma)

over a field

k

of characteristic different from 2, we relate the multipliers of similitudes of

(A, \sigma)

with the Clifford algebra

C(A, \sigma)

. We also give a complete description of the group of multipliers of similitudes when

\deg A \leq 6

or when the virtual cohomological dimension of

k

is at most 2.
On the group $H^3(F(\psi, D)/F)$
Authors: Izhboldin Oleg T. , Karpenko Nikita A.
Published: January 2023

Let

F

be a field of characteristic different from 2,

\psi

a quadratic

F

-form of dimension

\geq5

, and

D

a central simple

F

-algebra of exponent 2. We denote by

F(\psi,D)

the function field of the product

X_\psi\times X_D

, where

X_\psi

is the projective quadric determined by

\psi

and

X_D

is the Severi-Brauer variety determined by

D

. We compute the relative Galois cohomology group

H^3(F(\psi,D)/F,\Z/2\Z)

under the assumption that the index of

D

goes down when extending the scalars to

F(\psi)

. Using this, we give a new, shorter proof of the theorem [23, Th. 1] originally proved by A. Laghribi, and a new, shorter, and more elementary proof of the assertion [2, Cor. 9.2] originally proved by H. Esnault, B. Kahn, M. Levine, and E. Viehweg.
Hasse principle for $G$-quadratic forms
Authors: Bayer-Fluckiger Eva , Bhaskhar Nivedita
Published: January 2023

Let

k

be a global field of characteristic

\ne 2

. The classical Hasse–Minkowski theorem states that if two quadratic forms become isomorphic over all the completions of

k

, then they are isomorphic over

k

as well. It is natural to ask whether this is true for

G

-quadratic forms

, where

G

is a finite group. In the case of number fields the Hasse principle for

G

-quadratic forms does not hold in general, as shown by J. Morales [M 86]. The aim of the present paper is to study this question when

k

is a global field of positive characteristic. We give a sufficient criterion for the Hasse principle to hold (see th. 2.1.), and also give counter-examples. These counter-examples are of a different nature than those for number fields: indeed, if

k

is a global field of positive characteristic, then the Hasse principle does hold for

G

-quadratic forms on projective

k[G]

- modules (see cor. 2.3), and in particular if

k[G]

is semi-simple, then the Hasse principle is true for

G

-quadratic forms, contrarily to what happens in the case of number fields. On the other hand, there are counter-examples in the non semi-simple case, as shown in §3. Note that the Hasse principle holds in all generality for

G

-trace forms (cf. [BPS 13]).
Large Tilting Sheaves over Weighted Noncommutative Regular Projective Curves
Authors: Angeleri Hügel Lidia , Kussin Dirk
Published: January 2023

Let

\Bbb X

be a weighted noncommutative regular projective curve over a field

k

. The category Qcoh

\Bbb X

of quasicoherent sheaves is a hereditary, locally noetherian Grothendieck category. We classify all tilting sheaves which have a non-coherent torsion subsheaf. In case of nonnegative orbifold Euler characteristic we classify all large (that is, non-coherent) tilting sheaves and the corresponding resolving classes. In particular we show that in the elliptic and in the tubular cases every large tilting sheaf has a well-defined slope.
Normal Form for Infinite Type Hypersurfaces in $\mathbb{C}^2$ with Nonvanishing Levi Form Derivative
Authors: Ebenfelt P. , Lamel B. , Zaitsev D.
Published: January 2023

In this paper, we study real hypersurfaces

M

in

\Bbb C^2

at points

p\in M

of infinite type. The degeneracy of

M

at

p

is assumed to be the least possible, namely such that the Levi form vanishes to first order in the CR transversal direction. A new phenomenon, compared to known normal forms in other cases, is the presence of resonances as roots of a universal polynomial in the 7-jet of the defining function of

M

. The main result is a complete (formal) normal form at points

p

with no resonances. Remarkably, our normal form at such infinite type points resembles closely the Chern-Moser normal form at Levi-nondegenerate points. For a fixed hypersurface, its normal forms are parametrized by

S^1\times \Bbb R^\ast

, and as a corollary we find that the automorphisms in the stability group of

M

at

p

without resonances are determined by their 1-jets at

p

. In the last section, as a contrast, we also give examples of hypersurfaces with arbitrarily high resonances that possess families of distinct automorphisms whose jets agree up to the resonant order.
A More General Method to Classify up to Equivariant $KK$-Equivalence
Authors: Bentmann Rasmus , Meyer Ralf
Published: January 2023

Using a homological invariant together with an obstruction class in a certain Ext

^{2}

-group, we classify objects in triangulated categories that have projective resolutions of length two. This invariant gives strong classification results for actions of the circle group on

C^\ast

-algebras,

C^\ast

-algebras over finite unique path spaces, and graph

C^\ast

-algebras with finitely many ideals.
Klyachko Models for Ladder Representations
Authors: Mitra Arnab , Offen Omer , Sayag Eitan
Published: January 2023

We give a new proof for the existence of Klyachko models for unitary representations of

\mathrm{GL}_{n}(F)

over a non-archimedean local field

F

. Our methods are purely local and are based on studying distinction within the class of ladder representations introduced by E. Lapid and A. Mínguez [Am. J. Math. 136, No. 1, 111–142 (2014; Zbl 1288.22013)]. We classify those ladder representations that are distinguished with respect to Klyachko models. We prove the hereditary property of these models for induced representations from arbitrary finite length representations. Finally, in the other direction and in the context of admissible representations induced from ladder, we study the relation between distinction of the parabolic induction with respect to the symplectic groups and distinction of the inducing data.
Enrichment and Representability for Triangulated Categories
Authors: Steen Johan , Stevenson Greg
Published: January 2023

Given a fixed tensor triangulated category mathsfS we consider triangulated categories mathsfT together with an mathsfS-enrichment which is compatible with the triangulated structure of mathsfT. It is shown that, in this setting, an enriched analogue of Brown representability holds when both mathsfS and mathsfT are compactly generated. A natural class of examples of such enriched triangulated categories are module categories over separable monoids in mathsfS. In this context we prove a version of the Eilenberg-Watts theorem for exact coproduct and copower preserving mathsfS-functors, i.e., we show that any such functor between the module categories of separable monoids in mathsfS is given by tensoring with a bimodule.
The $K$-Theory of Versal Flags and Cohomological Invariants of Degree 3
Authors: Baek Sanghoon , Devyatov Rostislav , Zainoulline Kirill
Published: January 2023

Let

G

be a split semisimple linear algebraic group over a field and let

X

be a generic twisted flag variety of

G

. Extending the Hilbert basis techniques to Laurent polynomials over integers we give an explicit presentation of the Grothendieck ring

K_0(X)

in terms of generators and relations in the case

G=G^{sc}/\mu_2>

is of Dynkin type A or C (here

G^{sc}

is the simply-connected cover of

G

); we compute various groups of (indecomposable, semi-decomposable) cohomological invariants of degree 3, hence, generalizing and extending previous results in this direction.
Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
Authors: Arzhantseva Goulnara N. , Cashen Christopher H. , Gruber Dominik , Hume David
Published: January 2023

We introduce and begin a systematic study of sublinearly contracting projections. We give two characterizations of Morse quasi-geodesics in an arbitrary geodesic metric space. One is that they are sublinearly contracting; the other is that they have completely superlinear divergence. We give a further characterization of sublinearly contracting projections in terms of projections of geodesic segments.
The $\Theta$ Function and the Weyl Law on Manifolds Without Conjugate Points
Authors: Bonthonneau Yannick
Published: January 2023

We prove that the usual

\Theta

function on a Riemannian manifold without conjugate points is uniformly bounded from below. This extends a result of Green in two dimensions. We deduce that the Bérard remainder in the Weyl law is valid for a manifold without conjugate points, without any restriction on the dimension.
Positivity of Line Bundles and Newton-Okounkov Bodies
Authors: Küronya Alex , Lozovanu Victor
Published: January 2023

The purpose of this paper is to describe asymptotic base loci of line bundles on projective varieties in terms of Newton-Okounkov bodies. As a result, we obtain equivalent characterizations of ampleness and nefness via convex geometry.
Intrinsic Volumes and Gaussian Polytopes: The Missing Piece of the Jigsaw
Authors: Bárány Imre , Thäle Christoph
Published: January 2023

The intrinsic volumes of Gaussian polytopes are considered. A lower variance bound for these quantities is proved, showing that, under suitable normalization, the variances converge to strictly positive limits. The implications of this missing piece of the jigsaw in the theory of Gaussian polytopes are discussed.
Embeddings of Quadratic Spaces
Authors: Chintala Vineeth
Published: January 2023

We introduce the concept of an embedding of a quadratic space in an associative algebra. Using Clifford Algebras we derive some fundamental properties that any embedding should satisfy. Conversely, there is a simple description of the Clifford Algebra and the corresponding Spin groups in terms of the algebra in which the quadratic space is embedded. Though Clifford Algebras have been studied in detail, they may not always be easy to work with. Sometimes it may be useful to switch to a more concrete embedding to study low dimensional Spin and Epin (or Elementary Spin) groups.
Duality for Relative Logarithmic de Rham-Witt Sheaves on Semistable Schemes over $\mathbb F_q[[t]]$
Authors: Zhao Yigeng
Published: January 2023

We study duality theorems for the relative logarithmic de Rham-Witt sheaves on semi-stable schemes

X

over a local ring

\mathbb{F}_q[[t]]

, where

\mathbb{F}_q

is a finite field. As an application, we obtain a new filtration on the maximal abelian quotient

\pi^{{ab}}_1(U)

of the étale fundamental groups

\pi_1(U)

of an open subscheme

U \subseteq X

, which gives a measure of ramification along a divisor

D

with normal crossing and

{Supp}(D) \subseteq X-U

. This filtration coincides with the Brylinski-Kato-Matsuda filtration in the relative dimension zero case.
On Deligne's Conjecture for Certain Automorphic $L$-Functions for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ and $\mathrm{GL}(4)$
Authors: Chen Shih-Yu , Cheng Yao
Published: January 2023

We prove Deligne's conjecture for certain automorphic

L

-functions for

\mathrm{GL}(3)\times\mathrm{GL}(2)

and

\mathrm{GL}(4)

. The proof is based on rationality results for central critical values of triple product

L

-functions, which follow from establishing explicit Ichino's formulae for trilinear period integrals for Hilbert cusp forms on totally real étale cubic algebras over

\mathbb{Q}

.
GSV-Index for Holomorphic Pfaff Systems
Authors: Corrêa Maurício , da Silva Machado Diogo
Published: January 2023

In this work we introduce a GSV type index for varieties invariant by holomorphic Pfaff systems (possibly non locally decomposables) on projective manifolds. We prove a non-negativity property for the index. As an application, we prove that the non-negativity of the GSV-index gives us an obstruction to the solution of the Poincaré problem for Pfaff systems on projectives spaces.
Semi-Free Actions with Manifold Orbit Spaces
Authors: Harvey John , Kerin Martin , Shankar Krishnan
Published: January 2023

In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold. We show that the only simply connected

5

-manifolds admitting a smooth, semi-free circle action with fixed-point components of codimension

4

are connected sums of

\mathbf{S}^3

-bundles over

\mathbf{S}^2

. Furthermore, the Betti numbers of the

5

-manifolds and of the quotient

4

-manifolds are related by a simple formula involving the number of fixed-point components. We also investigate semi-free

S^3

actions on simply connected

8

-manifolds with quotient a

5

-manifold and show, in particular, that there are strong restrictions on the topology of the

8

-manifold.
The universal de Rham / Spencer double complex on a supermanifold
Authors: Cacciatori Sergio Luigi , Noja Simone , Re Riccardo
Published: January 2023

The universal Spencer and de Rham complexes of sheaves over a smooth or analytical manifold are well known to play a basic role in the theory of

\mathcal{D}

-modules. In this article we consider a double complex of sheaves generalizing both complexes for an arbitrary supermanifold, and we use it to unify the notions of differential and integral forms on real, complex and algebraic supermanifolds. The associated spectral sequences give the de Rham complex of differential forms and the complex of integral forms at page one. For real and complex supermanifolds both spectral sequences converge at page two to the locally constant sheaf. We use this fact to show that the cohomology of differential forms is isomorphic to the cohomology of integral forms, and they both compute the de Rham cohomology of the reduced manifold. Furthermore, we show that, in contrast with the case of ordinary complex manifolds, the Hodge-to-de Rham (or Frölicher) spectral sequence of supermanifolds with Kähler reduced manifold does not converge in general at page one.
Okubo quasigroups
Authors: Smith Jonathan D. H. , Vojtěchovský Petr
Published: January 2023

Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication from para-octonion and Okubo algebras. The new quasigroups are known respectively as the para-Paige and Okubo quasigroups. We study the properties of these simple quasigroups: their multiplication groups, power structure, generating sets, subquasigroups, and automorphisms. Notably, examination of the power structure in the Okubo quasigroups leads to analysis of a class of hitherto unstudied identities holding in Moufang loops.
Multiplier tests and subhomogeneity of multiplier algebras
Authors: Aleman Alexandru , Hartz Michael , McCarthy John E. , Richter Stefan
Published: January 2023

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms of positivity of

n \times n

matrices analogous to the classical Pick matrix. We study for which reproducing kernel Hilbert spaces it suffices to consider matrices of bounded size

n

. We connect this problem to the notion of subhomogeneity of non-selfadjoint operator algebras. Our main results show that multiplier algebras of many Hilbert spaces of analytic functions, such as the Dirichlet space and the Drury-Arveson space, are not subhomogeneous, and hence one has to test Pick matrices of arbitrarily large matrix size

n

. To treat the Drury-Arveson space, we show that multiplier algebras of certain weighted Dirichlet spaces on the disc embed completely isometrically into the multiplier algebra of the Drury-Arveson space.
Towards a classification of connected components of the strata of $k$-differentials
Authors: Chen Dawei , Gendron Quentin
Published: January 2023

A

k

-differential on a Riemann surface is a section of the

k

-th power of the canonical bundle. Loci of

k

-differentials with prescribed number and multiplicities of zeros and poles form a natural stratification for the moduli space of

k

-differentials. The classification of connected components of the strata of

k

-differentials was known for holomorphic differentials, meromorphic differentials and quadratic differentials with at worst simple poles by Kontsevich-Zorich, Boissy and Lanneau, respectively. Built on their work we develop new techniques to study connected components of the strata of

k

-differentials for general

k

. As an application, we give a complete classification of connected components of the strata of quadratic differentials with arbitrary poles. Moreover, we distinguish certain components of the strata of

k

-differentials by generalizing the hyperelliptic structure and spin parity for higher

k

. We also describe an approach to determine explicitly parities of

k

-differentials in genus zero and one, which inspires an amusing conjecture in number theory. A key viewpoint we use is the notion of multi-scale

k

-differentials introduced by Bainbridge-Chen-Gendron-Grushevsky-Möller for

k = 1

and extended by Costantini-Möller-Zachhuber for all

k

.
Adams' cobar construction revisited
Authors: Rivera Manuel
Published: January 2023

We give a short and streamlined proof of the following statement recently proven by the author and M. Zeinalian: the cobar construction of the dg coassociative coalgebra of normalized singular chains on a path-connected pointed space is naturally quasi-isomorphic as a dg associative algebra to the singular chains on the based loop space. This extends a classical theorem of F. Adams originally proven for simply connected spaces. Our proof is based on relating the cobar functor to the left adjoint of the homotopy coherent nerve functor.
On class number relations and intersections over function fields
Authors: Guo Jia-Wei , Wei Fu-Tsun
Published: January 2023

The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The main bridge is a particular "harmonic" theta series with nebentypus. Using the strong approximation theorem, the Fourier coefficients of this series are expressed in two ways; one comes from modified Hurwitz class numbers and another gives the intersection numbers in question.
Wyniki symulacji biomechanicznych opracowanych za pomocą programów V-SIM i PC-Crash
Authors: Kędzierski Mirosław
Published: January 2023

W niniejszym opracowaniu przedstawiono wyniki symulacji biomechanicznych, uzyskanych za pomocą programu V-SIM i PC-Crash. W opracowanych przykładach przyjęto jednakowe główne parametry symulacji oraz wykorzystano uniwersalne i rzeczywiste sylwetki nadwozi pojazdów. Porównania dokonano na podstawie przykładów o różnym stopniu złożoności.

ABSTRACT
Preliminary results of biomechanical simulations using V-SIM and PC-Crash software

The article presents preliminary results of biomechanical simulations carried out using V-SIM and PC-Crash software packages. In both environments similar simulation parameters were adopted. Both universal and real vehicle body shapes were used. The comparison between the two software packages was done based on examples of different levels of complexity.
Wypadki z udziałem pieszych – możliwości rekonstrukcji w programie V-Sim 5.0
Authors: Walczak Stanisław
Published: January 2023

W artykule przedstawiono wyniki symulacji przebiegu rzeczywistych wypadków z udziałem niechronionych uczestników ruchu w nowej wersji programu V-Sim 5.0. W symulacjach wykorzystano wielobryłowy model pieszego. Przeanalizowano wpływ poszczególnych parametrów modelu, a także parametrów ruchu pieszego oraz względnego położenia pieszego i pojazdu w początkowej chwili potrącenia na uzyskane wyniki w postaci zasięgu wrzucenia pieszego na pojazd oraz odrzutu wzdłużnego pieszego.

Pedestrian-Car Accident – possibility of reconstruction in V-Sim 5.0 program

The article presents the results of a simulation of real pedestrian-car accidents in the new version of the V-Sim 5.0 program. The new multibody pedestrian model was employed in the simulations. The analysis covers the effect of individual model parameters as well as the parameters of pedestrian’s motion and the relative pedestrian-vehicle position at the initial moment of the collision on the obtained results including the range of the pedestrian’s being thrown onto the vehicle and his longitudinal recoil are analyzed.
Water resources of Kazakhstan as a factor in the growth of agro-industrial production in the context of transition to "green" economy
Authors:   Turan-Astana University, Saparova D. , Saginova S. ,   Kazakh University of Technology and Business
Published: January 2023

The purpose – is to show the state of water resources, their use as a factor in the growth of AIC and development of water strategy of Kazakhstan. Statistical indicators that have direct impact and significantly affect the effectiveness of management of water sources in the republic are systematized. Methods – economic-mathematical, predictive calculations in order to solve the problems of water supply for national economic needs of the country with high-quality drinking water. Results – the degree of development of this topic in scientific works of domestic and foreign environmental scientists and economists was studied. Particular factors are determined on the basis of econometric model in the form of joint equations, their significance for the future is proved and justified. It is proposed to analyze the situation that has developed in the system of water objects of agricultural sector of the Republic of Kazakhstan in the context of implementation of "green" economy projects with the help of multifactorial probabilistic-statistical models that characterize the mechanism of functioning of socio-econometric system. Statistical series of initial data were compiled, presented by the Bureau of National Statistics of the Agency for Strategic Planning and Reforms of the Republic of Kazakhstan. Conclusions – it is noted that agriculture is the most water-intensive sector, characterized by the greatest losses of water during its transportation and use. The authors recommend that farmers implement innovative methods to improve irrigation efficiency with more sustainable water harvesting. It was revealed that primary reasons for the growing shortage of used water objects are worn-out infrastructure, the use of outdated technologies in construction of water supply networks. The results of calculations of management of structural economic-mathematical model for the analysis and forecasting of ec onomic processes of different levels for the period 2022-2025 are obtained.
Scenarios of the domestic oil and fat industry
Authors:   Kazakh  National  Agrarian  Research  University, Mukhametov A. E. , Dautkanov N. B. ,   Kazakh Research Institute  of Processing and Food  Industry
Published: January 2023

The production and industrial processing of oil-containing raw materials is a strategic task for the economy of the Republic of Kazakhstan. Domestic producers have the opportunity to dominate not only in the Central Asian region, but also to expand export flows along the developed transport routes. In addition, development of oil and fat industry of the republic will significantly reduce the impact of foreign intervention supplies on domestic market. The goal – is to identify the trends of main world players, as well as to determine the growth points of oil and fat subcomplex. The study used methods – to analyze the world branch economy: information from specialized sources and publications, official statistics from the US Department of Agriculture, foreign agricultural service of the sector "Oil crops: world markets and trade", consultations with Kazakhstani analysts in the field of agriculture, materials on the topic from open sources. Results – key global trends are identified, the average per capita consumption of vegetable oils in Kazakhstan is determined. Soybean, palm, sunflower, rapeseed and safflower are the main oil crops in the world and local space, the importance of legumes is noted. Besides exotic ones - palm trees and olives, almost all oilseed plants, which determine the global industry structure, are grown in the country. In terms of production and export of linseed oil and oil seeds, Kazakhstan producers are in the world's leading positions. The influence of restrictive anti-covid measures on production of vegetable oils is shown. An example of wholesale and retail trade is given, where a fixed trade margin for retail goods is applied. Conclusions – in the Republic of Kazakhstan there is a significant potential that can provide a dominant position in regional market and can become a catalyst for inter-industry mutually beneficial relations in food sector, fodder production and animal husbandry.
Meat production in Abay district of Abay region of Kazakhstan in the context of intensification of technological processes in agro-industrial complex
Authors:   Shakarim  University, Zhailaubayeva Sh. , Kazhiyeva Zh. ,   Shakarim  University
Published: January 2023

The goal – is to analyze modern development of meat industry in Abay district of Abay region, identify advantages and disadvantages, as well as develop a set of measures for the effective functioning of meat and meat products market. Methods – balance, monographic, statistical and economic, settlement and constructive. Results – main indicators of development of livestock sector and meat industry of the region are considered, in particular, the share of crop and livestock production in the gross output of agricultural products (services) is shown; the number of livestock and poultry in all categories of farms, including cattle, sheep and goats, horses; production in slaughter weight; dynamics of the volume of processing of meat products. A comprehensive study made it possible to identify the problems of meat sub-complex associated with technical and technological backwardness of agricultural enterprises, the presence of inefficient and inactive economic entities, low competitiveness of meat products in foreign market, and the lack of financial resources. Conclusions – to obtain a wide range of meat products in the Abay district and in the whole region, it is necessary to take effective measures by creating a strong raw mat erial base for meat processing enterprises, developing market infrastructure, intensifying the pr ocesses of using processing enterprises of their own production capacities, while enterprises that provide a high degree of depth of processing of livestock and slaughter products will prevail at the lowest cost. An important role is played by improvement of state and ma rket regulation. For these purposes, it is necessary to develop a mechanism for increasing meat procurement. The main directions for the development of relations between agricultural producers and processing enterprises are an effective system of pricing, contractual relations, expanding the network of market infrastructure that provides technical, technological and organizational management of continuous supply to the consumer.
State regulation of labor market in labor-surplus rural regions of Kazakhstan
Authors:   H.A.Yasavi International Kazakh-Turkish University, Ydyrys S. S. , Niyazbekova R. K. ,   M.Auezov  South  Kazakhstan University, Ilasheva S. A. ,   M.Auezov  South  Kazakhstan University
Published: January 2023

In the State Program on Development of Productive Employment and Mass Entrepreneurship for 2017-2021 "Enbek", special attention is paid to studying the current situation and developing measures to reduce unemployment in the republic. The article outlines and substantiates the factors that negatively affect the livelihoods of rural residents in the regions of Kazakhstan with excessive concentration of labor. The goal is to identify new forms of labor market regulation in labor-surplus regions, show ways to launch them; assistance in development of new model for reducing unemployment that meets the needs of the time; consider modern mechanisms of State regulation of employment. Methods – dialectical, scientific generalization, classification, systemic and comparative analysis. Results – proposals have been prepared to improve the efficiency of functioning of regional employment centers, diversify the tools for external and internal stimulation of their employees, increase the reliability of predicting the situation in labor segment based on practice of improving the skills of specialists from the Employment Center in Shymkent. The reasons for the formation of excess of labor resources in the region are analyzed and classified; own definition of the concept of "surplus labor force" is proposed; the results of socio-economic activity of the Turkestan region in comparison with other regions of the country are presented, assessment of the complexity of crisis situation in labor market segment is given; recommendations have been developed to provide jobs for people living in villages. Conclusions – the results of study are aimed at optimizing the regulation of rural labor market, the most important component in the system of market economic relations and improving the State policy in the field of employment.
The Phillips curve in agriculture: interaction of inflation and unemployment
Authors:   West Kazakhstan Innovative and Technological  University, Kurmanova G. K. , Sukhanberdina B. B. ,   West Kazakhstan Innovative and Technological  University, Urazova B. A. ,   West Kazakhstan Innovative and Technological  University
Published: January 2023

The goal is to analyze the manifestation of the Phillips curve on practical material. Methods – comparative, systemic, statistical, classification. Results – the authors examine the relationship between inflation and unemployment from 1991 to 2021 in the Republic of Kazakhstan through the Phillips curve. The possibility of its application for Kazakhstan economy is considered. The relevance of the article is determined by the fact that in agriculture, depreciation of money and unemployment has negative impact in the form of disproportionate development, reduced investment activity, socio-economic instability, underproduction of gross product, and redistribution costs. This requires assessment of current trends in labor market, which is an indicator of living standard of population. The degree of inflationary processes (independent variable) and unemployment (dependent variable) in dynamics for domestic agricultural sector is analyzed. The relationship of human potential with the rate of decline in purchasing power is reflected. Using statistical data, Phillips curve was constructed for a longterm period. Correlation comparison of unemployment and increase in prices for goods and services has been carried out. The dependence between the studied variables for agro-industrial complex of the republic was tested. Conclusions – the results indicate the presence of relationship which is consistent with scientific concept of A. Phillips between inflation and unemployment in certain years. The periods when there is no feedback between them predominate. There is a simultaneous increase in inflation and unemployment and their decrease. However, even after 64 years, the Phillips curve, supplemented by the studies of E. Phelps and M.Friedman, is a tool for macroeconomic analysis, implementation of macroeconomic knowledge.