Noncommutative resolutions of discriminants

被引：4

作者：

Buchweitz, Ragnar-Olaf ^{[1
]}

Faber, Eleonore ^{[2
]}

Ingalls, Colin ^{[3
]}

机构：

[1] Univ Toronto Scarborough, Dept Comp & Math Sci, 1265 Mil Trail, Toronto, ON M1C 1A4, Canada

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

来源：

REPRESENTATIONS OF ALGEBRAS | 2018年 / 705卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Reflection groups; hyperplane arrangements; maximal Cohen-Macaulay modules; matrix factorizations; noncommutative desingularization; COHEN-MACAULAY MODULES; ENDOMORPHISM-RINGS; SINGULARITIES; INVARIANTS; DIMENSION; FLOPS;

D O I：

10.1090/conm/705/14199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an introduction to the McKay correspondence and its connection to quotients of C-n by finite reflection groups. This yields a natural construction of noncommutative resolutions of the discriminants of these reflection groups. This paper is an extended version of E. F.'s talk with the same title delivered at the ICRA.

引用

页码：37 / 52

页数：16

共 50 条

[1] Resolutions of discriminants and topology of their complements
Vassiliev, V
NEW DEVELOPMENTS IN SINGULARITY THEORY, 2001, 21 : 87 - 115
[2] Noncommutative discriminants via Poisson primes
Nguyen, Bach
Trampel, Kurt
Yakimov, Milen
ADVANCES IN MATHEMATICS, 2017, 322 : 269 - 307
[3] Noncommutative quasi-resolutions
Qin, X-S
Wang, Y-H
Zhang, J. J.
JOURNAL OF ALGEBRA, 2019, 536 : 102 - 148
[4] Noncommutative resolutions and rational singularities
Stafford, J. T.
Van den Bergh, M.
MICHIGAN MATHEMATICAL JOURNAL, 2008, 57 : 659 - 674
[5] Noncommutative resolutions using syzygies
Dao, Hailong
Iyama, Osamu
Iyengar, Srikanth B.
Takahashi, Ryo
Wemyss, Michael
Yoshino, Yuji
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019, 51 (01) : 43 - 48
[6] Noncommutative Grobner bases, and projective resolutions
Green, EL
COMPUTATIONAL METHODS FOR REPRESENTATIONS OF GROUPS AND ALGEBRAS, 1999, 173 : 29 - 60
[7] Generating toric noncommutative crepant resolutions
Bocklandt, Raf
JOURNAL OF ALGEBRA, 2012, 364 : 119 - 147
[8] SEMI-SIMPLICIAL RESOLUTIONS AND HOMOLOGY OF IMAGES AND DISCRIMINANTS OF MAPPINGS
GORYUNOV, VV
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1995, 70 : 363 - 385
[9] On Noncommutative Operator Graphs Generated by Resolutions of Identity
G. G. Amosov
A. S. Mokeev
Proceedings of the Steklov Institute of Mathematics, 2021, 313 : 8 - 16
[10] Comparing the Kirwan and noncommutative resolutions of quotient varieties
Spenko, Spela
van den Bergh, Michel
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (801): : 1 - 43

← 1 2 3 4 5 →