Linearly reductive quotient singularities

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August undefined, 2024

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

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

NettetClassification of the Linearly Reductive Finite Subgroup Schemes of SL2 @article{Hashimoto2014ClassificationOT, title={Classification of the Linearly Reductive Finite Subgroup Schemes of SL2}, author={Mitsuyasu Hashimoto}, journal={Acta Mathematica Vietnamica}, year={2014}, volume={40}, pages={527-534} } NettetLinearly Reductive Quotient Singularities Christian Liedtke, Gebhard Martin, Yuya Matsumoto Comments: 53 pages, comments welcome, v2: minor corrections Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Representation Theory (math.RT) [7] arXiv:2110.03650 [ pdf, ps, other] keith white homes paragould ar

Classification of the Linearly Reductive Finite Subgroup Schemes …

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 … Nettetn==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]. 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 keith white landscaping

$arXiv:0911.2056v2 [math.AG] 21 Jun 2012$

Non-commutative resolutions of quotient singularities

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 … 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 lbct terminal los angelesNettet10. 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 … keith weller white tights

"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 ... " - Linearly reductive quotient singularities

Linearly reductive quotient singularities

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 ) 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-

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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 … 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.

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 … 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 … 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 …

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 …

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 lbc turn around timehttp://arxiv-export3.library.cornell.edu/abs/2102.01067v2 keith west magicianNettet9. mar. 2024 · In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We … lbc vfs trackingNettetWe show the existence of non-commutative (crepant) resolutions of quotient singularities, where the quotient singularity arises as a reductive group acting suitably well … lbc vertis northNettetare 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. lbc vigan delivery teamNettet13. 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 … keith whaley state farmNettet18. 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. lbc waltermart