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Linearly reductive quotient singularities

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 … Nettet5. mar. 2014 · Since two-dimensional linearly reductive quotient singularities over algebraically closed fields of positive characteristic are F-regular (see [LMM21, …

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Nettet8. 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 ) 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 … javascript programiz online https://reneevaughn.com

[2103.03721] Arithmetic and geometric deformations of $F$-pure …

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 … 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 ... 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 … javascript print image from url

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Category:Non-commutative resolutions of quotient singularities

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Linearly reductive quotient singularities

Non-commutative resolutions of quotient singularities for …

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 NettetOver C, linearly reductive finite group schemes are just all the (non-modular) finite groups. In positive characteristic, there exists non-constant linearly reductive finite …

Linearly reductive quotient singularities

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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.

NettetLinearly 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 , 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 ...

Nettet20. mar. 2014 · We begin Section 4 by recalling the definition of linearly reductive quotient singularities, and giving a complete description of which canonical singularities are of this form. We then study the deformation functors of these singularities and obtain counter-examples to Tjurina vanishing. 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 …

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, …

http://arxiv-export3.library.cornell.edu/abs/2102.01067v2 javascript pptx to htmlNettet4. 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 … javascript progress bar animationNettetn==Ghas only nite quotient singularities, we may view it as a partial resolution of the very singular quotient X==G. Kirwan’s result can be expressed in the language of algebraic stacks by noting that for linearly reductive groups, a GIT quotient X==Gcan be interpreted as the good moduli space of the quotient stack [Xss=G]. javascript programs in javatpoint