julilili42/papers huggingface dataset:
The Cox ring of an algebraic variety with torus action
2022-03-15

We investigate the Cox ring of a normal complete variety X with algebraic torus action. Our first results relate the Cox ring of X to that of a maximal geometric quotient of X. As a consequence, we obtain a complete description of the Cox ring in terms of generators and relations for varieties with torus action of complexity one. Moreover, we provide a combinatorial approach to the Cox ring using the language of polyhedral divisors. Applied to smooth k*-surfaces, our results give a description of the Cox ring in terms of Orlik-Wagreich graphs. As examples, we explicitly compute the Cox rings of all Gorenstein del Pezzo k*-surfaces with Picard number at most two and the Cox rings of projectivizations of rank two vector bundles as well as cotangent bundles over toric varieties in terms of Klyachko's description.
Horizontal target size perturbations during grasping movements are described by subsequent size perception and saccade amplitude
2022-03-15

Perception and action are essential in our day-to-day interactions with the environment. Despite the dual-stream theory of action and perception, it is now accepted that action and perception processes interact with each other. However, little is known about the impact of unpredicted changes of target size during grasping actions on perception. We assessed whether size perception and saccade amplitude were affected before and after grasping a target that changed its horizontal size during the action execution under the presence or absence of tactile feedback. We have tested twenty-one participants in 4 blocks of 30 trials. Blocks were divided into two experimental tactile feedback paradigms: tactile and non-tactile. Trials consisted of 3 sequential phases: pre-grasping size perception, grasping, and post-grasping size perception. During pre- and post-phases, participants executed a saccade towards a horizontal bar and performed a manual size estimation of the bar size. During grasping phase, participants were asked to execute a saccade towards the bar and to make a grasping action towards the screen. While grasping, 3 horizontal size perturbation conditions were applied: non-perturbation, shortening, and lengthening. 30% of the trials presented perturbation, meaning a symmetrically shortened or lengthened by 33% of the original size. Participants’ hand and eye positions were assessed by a motion capture system and a mobile eye-tracker, respectively. After grasping, in both tactile and non-tactile feedback paradigms, size estimation was significantly reduced in lengthening (p = 0.002) and non-perturbation (p&lt;0.001), whereas shortening did not induce significant adjustments (p = 0.86). After grasping, saccade amplitude became significantly longer in shortening (p&lt;0.001) and significantly shorter in lengthening (p&lt;0.001). Non-perturbation condition did not display adjustments (p = 0.95). Tactile feedback did not generate changes in the collected perceptual responses, but horizontal size perturbations did so, suggesting that all relevant target information used in the movement can be extracted from the post-action target perception.
Evaluating a Multiplier Approach to Coach Education Within the German Football Association’s Talent Development Program: An Example of an Intervention Study Targeting Need-Supportive Coaching
2022-03-15

Coaches are among the most important agents for young football talents’ development. Their coaching style may impact not only players’ skill acquisition but also their motivation to meet their full potential. This study begins by presenting an intervention promoting need-supportive coaching to facilitate holistic talent development within the German Football Association (Deutscher Fußball-Bund [DFB]). The intervention was grounded in Deci and Ryan’s self-determination theory and designed as a hybrid model of coach education (i.e., online and in-present elements). In addition, DFB competence center coordinators were utilized as multipliers to reach a large population of approximately 1,300 coaches across Germany. The specific aim of this paper is to examine how these coordinators experienced the development and implementation process of the intervention. Utilizing a mixed-methods approach, coordinators’ satisfaction and experiences with the intervention were evaluated via a quantitative online survey ( n = 23) and qualitative follow-up interviews ( n = 8). Overall, the findings suggest that the presented approach may be suitable to address potential barriers in coach education, such as gaining coaches’ buy-in, transferring scientific knowledge into practice, and supporting long-term behavioral modifications in coaches. Specific recommendations (e.g., knowledge translation, gaining buy-in) for designing future interventions are highlighted.
Multigraded Factorial Rings and Fano varieties with torus action
2022-03-15

In a first result, we describe all finitely generated factorial algebras over an algebraically closed field of characteristic zero that come with an effective multigrading of complexity one by means of generators and relations. This enables us to construct systematically varieties with free divisor class group and a complexity one torus action via their Cox rings. For the Fano varieties of this type that have a free divisor class group of rank one, we provide explicit bounds for the number of possible deformation types depending on the dimension and the index of the Picard group in the divisor class group. As a consequence, one can produce classification lists for fixed dimension and Picard index. We carry this out expemplarily in the following cases. There are 15 non-toric surfaces with Picard index at most six. Moreover, there are 116 non-toric threefolds with Picard index at most two; nine of them are locally factorial, i.e. of Picard index one, and among these one is smooth, six have canonical singularities and two have non-canonical singularities. Finally, there are 67 non-toric locally factorial fourfolds and two one-dimensional families of non-toric locally factorial fourfolds. In all cases, we list the Cox rings explicitly.
Factorial algebraic group actions and categorical quotients
2022-03-15

Given an action of an affine algebraic group with only trivial characters on a factorial variety, we ask for categorical quotients. We characterize existence in the category of algebraic varieties. Moreover, allowing constructible sets as quotients, we obtain a more general existence result which, for example, settles the case of a finitely generated algebra of invariants. As an application, we provide a combinatorial GIT-type construction of categorial quotients for actions on, e.g. complete varieties with finitely generated Cox ring via lifting to the characteristic space.
The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces
2022-03-15

A root system of rank defines an -dimensional smooth projective toric variety associated with its fan of Weyl chambers. We give a simple description of the functor of in terms of the root system and apply this result in the case of root systems of type to give a new proof of the fact that the toric variety is the fine moduli space of stable -pointed chains of projective lines investigated by Losev and Manin.
XQuery Join Graph Isolation
2022-03-15

A purely relational account of the true XQuery semantics can turn any relational database system into an XQuery processor. Compiling nested expressions of the fully compositional XQuery language, however, yields odd algebraic plan shapes featuring scattered distributions of join operators that currently overwhelm commercial SQL query optimizers. This work rewrites such plans before submission to the relational database back-end. Once cast into the shape of join graphs, we have found off-the-shelf relational query optimizers--the B-tree indexing subsystem and join tree planner, in particular--to cope and even be autonomously capable of "reinventing" advanced processing strategies that have originally been devised specifically for the XQuery domain, e.g., XPath step reordering, axis reversal, and path stitching. Performance assessments provide evidence that relational query engines are among the most versatile and efficient XQuery processors readily available today.
Optimal Succinctness for Range Minimum Queries
2022-03-15

For a static array A of n ordered objects, a range minimum query asks for the position of the minimum between two specified array indices. We show how to preprocess A into a scheme of size 2n+o(n) bits that allows to answer range minimum queries on A in constant time. This space is asymptotically optimal in the important setting where access to A is not permitted after the preprocessing step. Our scheme can be computed in linear time, using only n + o(n) additional bits at construction time. In interesting by-product is that we also improve on LCA-computation in BPS- or DFUDS-encoded trees.
CR-quadrics with a symmetry property
2022-03-15

Motivated by the Shilov boundaries of bounded symmetric domains we consider arbitrary CR-quadrics in a complex linear space (of finite dimension) that have a certain symmetry property. For these the non-affine local CR-automorphisms have a simple explicit description. A large class of examples is presented.
Neutron Scattering Facility for Characterization of CRESST and EURECA Detectors at mK Temperatures
2022-03-15

CRESST (Cryogenic Rare Event Search with Superconducting Thermometers) is an experiment located at the Gran Sasso underground laboratory and aimed at the direct detection of dark matter in the form of WIMPs. The setup has just completed a one year commissioning run in 2007 and is presently starting a physics run with an increased target mass. Scintillating single crystals, operated at temperatures of a few millikelvin, are used as target to detect the tiny nuclear recoil induced by a WIMP. The powerful background identification and rejection of , e and events is realized via the simultaneous measurement of a phonon and a scintillation signal generated in the crystal. However, neutrons could still be misidentified as a WIMP signature. Therefore, a detailed understanding of the individual recoil behaviour in terms of phonon generation and scintillation light emission due to scattering on Ca, O or W nuclei, respectively, is mandatory. The only setup which allows to perform such measurements at the operating temperature of the CRESST detectors has been installed at the Maier-Leibnitz-Accelerator Laboratory in Garching and is presently being commissioned. The design of this neutron scattering facility is such that it can also be used for other target materials, e.g. , and others as foreseen in the framework of the future multitarget tonne-scale experiment EURECA (European Underground Rare Event Calorimeter Array).
Virtual Observatory studies of Planetary Nebulae
2022-03-15

Starting from the Strasbourg ESO Catalogue (SEC) of Planetary Nebulae (PNe), the largest PNe compilation available with ~ 1500 objects, we undertook a comprehensive study of the whole PN population, never carried out so far, only using on-line catalogues and data from public imaging surveys. The study includes the PN dynamics through their measured proper motions (PMs), the study of their galactocentric orbits, the study of their interactions with the interstellar medium (ISM), and the study of their UV-to-IR spectral energy distribution (SED). As a preliminary step required to perform cross-correlations with on-line catalogues, we first went through a systematic reassessment of the PN coordinates (Kerber et al. 2003a).
Integral pinching results for manifolds with boundary
2022-03-15

We prove that some Riemannian manifolds with boundary under an explicit integral pinching are spherical space forms. Precisely, we show that 3-dimensional Riemannian manifolds with totally geodesic boundary, positive scalar curvature and an explicit integral pinching between the -norm of their scalar curvature and the -norm of their Ricci tensor are spherical space forms with totally geodesic boundary. Moreover, we prove also that 4-dimensional Riemannian manifolds with umbilic boundary, positive Yamabe invariant and an explicit integral pinching between the total integral of their -curvature and the -norm of their Weyl curvature are spherical space forms with totally geodesic boundary. As a consequence of our work, we show that a certain conformally invariant operator which plays an important role in Conformal Geometry has a trivial kernel and is non-negative if the Yamabe invariant is positive and verifies a pinching condition together with the total integral of the -curvature. As an application of the latter spectral analysis, we show the existence of conformal metrics with constant -curvature, constant -curvature, and zero mean curvature under the latter assumptions.
Harmonic morphisms on conformally flat 3-spheres
2022-03-15

We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional.
Constructing Optimal Authentication Codes with Perfect Multi-fold Secrecy
2022-03-15

We establish a construction of optimal authentication codes achieving perfect multi-fold secrecy by means of combinatorial designs. This continues the author's work (ISIT 2009) and answers an open question posed therein. As an application, we present the first infinite class of optimal codes that provide two-fold security against spoofing attacks and at the same time perfect two- fold secrecy.
Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds
2022-03-15

Let M be a connected generic real-analytic CR-submanifold of a finite-dimensional complex vector space E. Suppose that for every point a in M the Lie algebra hol(M,a) of germs of all infinitesimal real-analytic CR-automorphisms of M at a is finite-dimensional and its complexification contains all constant vector fields and the Euler vector field. Under these assumptions we show that: (I) every hol(M,a) consists of polynomial vector fields, hence coincides with the Lie algebra hol(M) of all infinitesimal real-analytic CR-automorphisms of M; (II) every local real-analytic CR-automorphism of M extends to a birational transformation of E, and (III) the group Bir(M) generated by such birational transformations is realized as a group of projective transformations upon embedding E as a Zariski open subset into a projective algebraic variety. Under additional assumptions the group Bir(M) is shown to have the structure of a Lie group with at most countably many connected components and Lie algebra hol(M). All of the above results apply, for instance, to Levi non-degenerate quadrics, as well as a large number of Levi degenerate tube manifolds.
A categorical quotient in the category of dense constructible subsets
2022-03-15

A. A'Campo-Neuen and J. Hausen gave an example of an algebraic torus action on an open subset of the affine four space that admits no quotient in the category of algebraic varieties. We show that this example admits a quotient in the category of dense constructible subsets and thereby answer a question of A. Bialynicki-Birula.
Peculiar outburst of A 0535+26 observed with INTEGRAL, RXTE and Suzaku
2022-03-15

A normal outburst of the Be/X-ray binary system A0535+26 has taken place in August 2009. It is the fourth in a series of normal outbursts that have occured around the periastron passage of the source, but is unusual by starting at an earlier orbital phase and by presenting a peculiar double-peaked light curve. A first "flare" (lasting about 9 days from MJD 55043 on) reached a flux of 440 mCrab. The flux then decreased to less than 220 mCrab, and increased again reaching 440 mCrab around the periastron at MJD 55057. Target of Opportunity observations have been performed with INTEGRAL, RXTE and Suzaku. First results of these observations are presented, with special emphasis on the cyclotron lines present in the X-ray spectrum of the source, as well as in the pulse period and energy dependent pulse profiles of the source.
Slavnov-Taylor Identities in Coulomb Gauge Yang-Mills Theory
2022-03-15

Two aspects of the color charge in Coulomb gauge continuum Yang-Mills theory are discussed. The first aspect is the existence of a conserved and vanishing total charge exhibited within the first order functional formalism. The second aspect is the closure of the set of Slavnov-Taylor identities in the second order functional formalism, such that the exact solution for temporal Green's functions is in principle possible and thereby preserving the color charge.
Being Silent About the Truth: Narrative Ethics in Mats Wahl’s I ballong över Stilla havet
2022-03-15

Abstract Lying and deceiving are prominent topics in ethical narration. This has to do with an often absolutist stance against lying that shapes a large part of philosophical, religious, and political discourses. At the same time, lying and deceiving are topics in the field of moral education in which moral values such as honesty, sincerity, and truthfulness are propagated. Bringing these issues together, this article demonstrates how reflection about honesty and autonomy is narrated in Mats Wahl’s young adult novel I ballong över Stilla havet ( In a Balloon over the Pacific Ocean ). This novel shows that, while lying and deceiving undermine trust and can lead to harmful results, there are ways to fight against the moral destruction. This fight involves not only prosocial (versus mendacious) lying but also acknowledging individual motives for the lying behavior of others. Thus, while hating adults’ lies and deceptive actions as well as learning to lie himself, the male protagonist matures and takes on responsibility for his actions. We contend that this protagonist may constitute a moral exemplar that invites moral learning.
Digging deeper into colonial palaeontological practices in modern day Mexico and Brazil
2022-03-15

&amp;lt;p&amp;gt;Scientific practices stemming from colonialism, whereby middle- and low-income countries supply data for high-income countries and the contributions of local expertise are devalued, are still prevalent today in the field of palaeontology. In response to these unjust practices, countries such as Mexico and Brazil adopted protective laws and regulations during the twentieth century to preserve their palaeontological heritage. However, scientific colonialism is still reflected in many publications describing fossil specimens recovered from these countries. Here, we present examples of &amp;lsquo;palaeontological colonialism&amp;rsquo; from publications on Jurassic&amp;ndash;Cretaceous fossils from NE Mexico and NE Brazil spanning the last three decades. Common issues that we identified in these publications are the absence of both fieldwork and export permit declarations and the lack of local experts among authorships. In Mexico, access to many fossil specimens is restricted on account of these specimens being housed in private collections, whereas a high number of studies on Brazilian fossils are based on specimens illegally reposited in foreign collections, particularly in Germany and Japan. Finally, we outline and discuss the wider academic and social impacts of these research practices, and propose exhaustive recommendations to scientists, journals, museums, research institutions and government and funding agencies in order to overcome these practices.&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;nbsp;&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Files included:&amp;lt;/strong&amp;gt;&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Table S1.&amp;lt;/strong&amp;gt; Sabinas, La Popa and Parras basins fossil publications by foreign authors&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Table S2.&amp;lt;/strong&amp;gt; Araripe fossil publications by foreign authors (vertebrates and plants)&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Table S3.&amp;lt;/strong&amp;gt; Preliminary list of Araripe fossil arthropod publications&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Table S4.&amp;lt;/strong&amp;gt; List of palaeontology museums and postgraduate courses in Brazil with palaeontology advisors&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Table S5.&amp;lt;/strong&amp;gt; List of palaeontology museums and postgraduate courses in Mexico with palaeontology advisors&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Translation S1.&amp;lt;/strong&amp;gt; Complete article in Portuguese&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Translation S2.&amp;lt;/strong&amp;gt; Complete article in Spanish&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Appendix A.&amp;lt;/strong&amp;gt; Laws in Brazil (includes English translations)&amp;lt;/p&amp;gt;\\n\\n&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Appendix B.&amp;lt;/strong&amp;gt; Laws in Mexico (includes English translations)&amp;lt;/p&amp;gt;
Digging deeper into colonial palaeontological practices in modern day Mexico and Brazil
2022-03-15

Scientific practices stemming from colonialism, whereby middle- and low-income countries supply data for high-income countries and the contributions of local expertise are devalued, are still prevalent today in the field of palaeontology. In response to these unjust practices, countries such as Mexico and Brazil adopted protective laws and regulations during the twentieth century to preserve their palaeontological heritage. However, scientific colonialism is still reflected in many publications describing fossil specimens recovered from these countries. Here, we present examples of ‘palaeontological colonialism’ from publications on Jurassic–Cretaceous fossils from NE Mexico and NE Brazil spanning the last three decades. Common issues that we identified in these publications are the absence of both fieldwork and export permit declarations and the lack of local experts among authorships. In Mexico, access to many fossil specimens is restricted on account of these specimens being housed in private collections, whereas a high number of studies on Brazilian fossils are based on specimens illegally reposited in foreign collections, particularly in Germany and Japan. Finally, we outline and discuss the wider academic and social impacts of these research practices, and propose exhaustive recommendations to scientists, journals, museums, research institutions and government and funding agencies in order to overcome these practices. <strong>Files included:</strong> <strong>Table S1.</strong> Sabinas, La Popa and Parras basins fossil publications by foreign authors <strong>Table S2.</strong> Araripe fossil publications by foreign authors (vertebrates and plants) <strong>Table S3.</strong> Preliminary list of Araripe fossil arthropod publications <strong>Table S4.</strong> List of palaeontology museums and postgraduate courses in Brazil with palaeontology advisors <strong>Table S5.</strong> List of palaeontology museums and postgraduate courses in Mexico with palaeontology advisors <strong>Translation S1.</strong> Complete article in Portuguese <strong>Translation S2.</strong> Complete article in Spanish <strong>Appendix A.</strong> Laws in Brazil (includes English translations) <strong>Appendix B.</strong> Laws in Mexico (includes English translations)
The RUSH2A Study: Dark-Adapted Visual Fields in Patients With Retinal Degeneration Associated With Biallelic Variants in the USH2A Gene
2022-03-16

Rod-mediated function on FST and DAVF is present in many patients with symptomatic USH2A-related retinal degeneration, including some without measurable rod ERGs. RUSH2A longitudinal data will determine how these measures change with disease progression and whether they are useful for longitudinal studies in inherited retinal degenerations.