STRATIFICATION FOR MODULE CATEGORIES OF FINITE GROUP SCHEMES

被引：22

作者：

Benson, Dave

Iyengar, Srikanth B.

Krause, Henning

Pevtsova, Julia ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 31卷 / 01期

基金：

美国国家科学基金会;

关键词：

Cosupport; finite group scheme; localizing subcategory; support; thick subcategory; THICK SUBCATEGORIES; SUPPORT VARIETIES; COHOMOLOGY; LOCALIZATION; THEOREM; BOUSFIELD; RESPECT; RING;

D O I：

10.1090/jams/887

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The tensor ideal localizing subcategories of the stable module category of all, including infinite dimensional, representations of a finite group scheme over a field of positive characteristic are classified. Various applications concerning the structure of the stable module category and the behavior of support and cosupport under restriction and induction are presented. © 2017 American Mathematical Society.

引用

页码：265 / 302

页数：38

共 40 条

[1] Support varieties and cohomology over complete intersections [J].

Avramov, LL ;

Buchweitz, RO .

INVENTIONES MATHEMATICAE, 2000, 142 (02) :285-318

[2] Cohomology and projectivity of modules for finite group schemes [J].

Bendel, CP .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2001, 131 :405-425

[3]

Benson D, 2002, J REINE ANGEW MATH, V542, P23

[4]

Benson D. J., STRATIFICAT IN PRESS

[5]

Benson D. J., 2012, OBERWOLFACH SEMINARS, V43

[6]

Benson D. J., 1998, CAMBRIDGE STUDIES AD, V31

[7]

Benson D, 2017, ANN K-THEORY, V2, P387, DOI 10.2140/akt.2017.2.387

[8] Stratifying triangulated categories [J].

Benson, Dave ;

Iyengar, Srikanth B. ;

Krause, Henning .

JOURNAL OF TOPOLOGY, 2011, 4 (03) :641-666

[9]

Benson D, 2008, ANN SCI ECOLE NORM S, V41, P573

[10] Colocalizing subcategories and cosupport [J].

Benson, David J. ;

Iyengar, Srikanth B. ;

Krause, Henning .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2012, 673 :161-207

← 1 2 3 4 →