Linearly reductive quotient singularities

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August undefined, 2024

Nettet24. jul. 2015 · We classify the linearly reductive finite subgroup schemes G of S L 2 =S L(V) over an algebraically closed field k of positive characteristic, up to conjugation. As … Nettet5. mar. 2024 · In addition, we show its analog for log terminal singularities, without assuming that $\mathcal{X}$ is $\mathbb ... Our results give an affirmative answer to a …

REDUCTIVE QUOTIENTS OF KLT SINGULARITIES …

Nettet1. feb. 2024 · We study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but not all, … Nettethold for arbitrary reductive representations: more explicitly, in all cases known to us, when dim V/G = 2, V/G is a quotient singularity. The classification of G-invariant functions on … pediatric ophthalmology orlando fl

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NettetIn this article, we study linearly reductive group schemes G, actions as just described, and the associated quotient singularities. Most of our results are known in the case … Nettet18. feb. 2015 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We … Nettetquotient of a smooth scheme by a ﬁnite ﬂat linearly reductive group scheme. One of the main results of this paper is that de Rham Theory can be extended to the class of schemes with isolated linearly reductive singularities. As with Steenbrink’s result, we prove this by passing through stacks. Just as schemes with quotient singularities are meaning of technical know how

Two-dimensional quotient singularities are rational: why?

Linearly Reductive Quotient Singularities - NASA/ADS

Nettetof linearly reductive groups. They generally have worse than quotient singularities and therefore have no obvious crepant resolution by a smooth Deligne–Mumford stack. However, the good moduli space map X→Y is a natural candidate for a nice resolution of singularities by a smooth Artin stack. In [SU20], the authors NettetWe study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but not all, … meaning of technical analysis in investmentNettetWe show the existence of non-commutative (crepant) resolutions of quotient singularities, where the quotient singularity arises as a reductive group acting suitably well … pediatric ophthalmology near ukiah

"Nettet16. des. 2009 · I've read that quotient singularities (that is, spectra of invariant subrings of finite groups acting linearly on polynomial rings) have rational singularities. Is there … " - Linearly reductive quotient singularities

Linearly reductive quotient singularities

Classification of the Linearly Reductive Finite Subgroup Schemes …

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Nettet5. mar. 2014 · Since two-dimensional linearly reductive quotient singularities over algebraically closed fields of positive characteristic are F-regular (see [LMM21, … NettetAbstract. We establish a McKay correspondence for ﬁnite and linearly reductive subgroup schemes of SL 2 in positive characteristic. As an application, we obtain a …

Nettet18. feb. 2015 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We show in particular that quotient singularities for reductive groups always have non-commutative resolutions in an appropriate sense. Nettetreductive group. Naturally, we are interested in the information that we can obtain about the GIT quotient F d==SL 3(C). In most cases, this quotient variety is very singular, the worst singularities come from the semistable points whose stabilizers are of positive dimension. What can we say about the stability of the foliations with a unique ...

Nettetare linearly reductive quotient singularities but not wild. A. n-singularities, many results from [12] still hold true in positive characteristic. On the other hand, we show in Remark 4.8 that Tjurina’s vanishing result [43] fails for every canonical singularity in every positive characteristic. NettetUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display).

Nettet10. jun. 2016 · Googling "quotient singularity" gave that it is the quotient of an affine variety V by a finite group G ⊆ Aut (V) and if G = Z / r then it is a cyclic quotient singularity. The …

Nettet7. okt. 2024 · Finally, we study the question whether rational double point singularities are quotient singularities by group schemes and ... linearly reductive subgroup scheme of GL 2,k (resp. SL 2,k), see ... pediatric ophthalmology salary sdnNettetLinearly Reductive Quotient Singularities (with C. Liedtke and Y. Matsumoto), 51 pages ; Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics (with I. Dolgachev), Advances in Mathematics Volume 400, 14 May 2024, 108274 ; Automorphism schemes of (quasi-)bielliptic surfaces , meaning of technicalNettet4. nov. 2024 · We prove that the quotient of a klt type singularity by a reductive group is of klt type. In particular, given a klt variety endowed with the action of a reductive … meaning of technical servicesNettetwith ﬁnite inertia, such that its geometric points have linearly reductive automor-phism group. This is equivalent to requiring that Xis ´etale locally over its moduli space a quotient by a ﬁnite, linearly reductive group scheme [AOV08, Theorem 3.2]. If kis a ﬁeld and G→ Speckis agroupscheme, wedenote by BkGthe classifying meaning of technique why did they choose thisNettetAbstract: We study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but … meaning of technical specificationsNettet18. feb. 2015 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We show in particular that quotient singularities for reductive groups always have non-commutative resolutions in an appropriate sense. meaning of tech stackNettetreductive singularities if it is ´etale locally the quotient of a smooth scheme by a ﬁnite linearly re-ductive group scheme. In characteristic 0, this simply recovers the notion of … meaning of technical writing