Linearly reductive quotient singularities

Author: mulz

August undefined, 2024

Nettet4. 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 … Nettet9. mar. 2024 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We …

Non-commutative resolutions of quotient singularities

NettetLinearly Reductive Quotient Singularities Christian Liedtke, Gebhard Martin, Yuya Matsumoto Comments: 53 pages, comments welcome, v2: minor corrections Subjects: … 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 ... do fungi sexually reproduce

arXiv:2102.01067v2 [math.AG] 11 Oct 2024

http://arxiv-export3.library.cornell.edu/abs/2102.01067v2 NettetWe say that an ﬃ algebraic k-group scheme G is linearly reductive if any G-module is semisimple. Lemma 2.2. Let 1! N ! G ! H ! 1 be an exact sequence of ﬃ algebraic k-group schemes. Then G is linearly reductive if and only if H and N are linearly reductive. Proof. We prove the ‘if’ part. If M is a G-module, then the Lyndon- facts about salem state university

$STACKS arXiv:2109.09800v1 [math.AG] 20 Sep 2024$

(PDF) Torsors over the Rational Double Points in Characteristic ...

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. Nettet5. mar. 2014 · Since two-dimensional linearly reductive quotient singularities over algebraically closed fields of positive characteristic are F-regular (see [LMM21, … facts about saltwater and freshwaterNettet18. 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. facts about salah for kids

"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

[2111.02812] Reductive quotients of klt singularities - arXiv.org

Nettet14. sep. 2016 · Let G be a finite subgroup of GL(2) acting on A2/{0} freely. The G-orbit Hilbert scheme G-Hilb(A2) is a minimal resolution of the quotient A2/G as given by A. Ishii, On the McKay correspondence for a finite small subgroup of GL(2,C), J. Reine Angew. Math. 549 (2002), 221–233. We determine the generator sheaf of the ideal defining the … Nettet13. aug. 2024 · Let F be an algebraically closed field of positive characteristic, p.We determine the linearly reductive finite subgroup schemes G of SL(3,F), up to …

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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 … Nettetwith 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

NettetUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). 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, …

Nettetregular singularities and a normal variety with isolated quotient F-regular singularities in the sense of Deﬁnition 2.7. Remark 1.2. (1) We cannot drop the assumption that G is linearly reductive. Indeed, an E0 8-singularity in characteristic p = 5, which is a quotient singularity by non-linearly reductive group scheme α Nettet13. jul. 2024 · We establish a McKay correspondence for finite and linearly reductive subgroup schemes of in positive characteristic. As an application, we obtain a McKay correspondence for all rational double point singularities in characteristic . We discuss linearly reductive quotient singularities and canonical lifts over the ring of Witt vectors.

NettetAbstract: We study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but …

Nettetreductive 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 … facts about salma lakhaniNettet18. feb. 2015 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We … dofups frNettethold 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 … facts about sally ride for kidsNettet8. okt. 2024 · with Christian Liedtke and Gebhard Martin, Linearly Reductive Quotient Singularities , preprint arXiv:2102.01067 ( v2: 2024/10/12 ) Purely inseparable coverings of rational double points in positive characteristic , Journal of Singularities 24 (2024), 79–95 . DOI: 10.5427/jsing.2024.24b ( arXiv:2003.10344v3 ) facts about salma hayekNettet24. 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 … do fungus gnats eat leavesNettetOn the other hand, reductive quotient singularities manifest when studying smooth projective varieties with reductive group actions, i.e., in the theory of G-varieties … do fungi cell walls have celluloseNettetLinearly 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 , facts about salmon for kids