ON THE CASTELNUOVO-MUMFORD REGULARITY OF THE COHOMOLOGY RING OF A GROUP

被引：15

作者：

Symonds, Peter ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 23卷 / 04期

关键词：

COMMUTATIVE ALGEBRA;

D O I：

10.1090/S0894-0347-10-00666-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Benson's Regularity Conjecture that the regularity of the cohomology of a finite group is zero. We also prove some of his generalisations to other classes of groups. © 2010 American Mathematical Society.

引用

页码：1159 / 1173

页数：15

共 50 条

[1] Bounds on cohomology and Castelnuovo-Mumford regularity
Miyazaki, C
Vogel, W
JOURNAL OF ALGEBRA, 1996, 185 (03) : 626 - 642
[2] Castelnuovo-Mumford Regularity of Graphs
Biyikoglu, Turker
Civan, Yusuf
COMBINATORICA, 2018, 38 (06) : 1353 - 1383
[3] Liaison and Castelnuovo-Mumford regularity
Chardin, M
Ulrich, B
AMERICAN JOURNAL OF MATHEMATICS, 2002, 124 (06) : 1103 - 1124
[4] Multigraded Castelnuovo-Mumford regularity
Maclagan, D
Smith, GG
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2004, 571 : 179 - 212
[5] Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity
Nagel, U
Schenzel, P
NAGOYA MATHEMATICAL JOURNAL, 1998, 152 : 153 - 174
[6] Castelnuovo-Mumford Regularity of Graphs
Türker Biyikoğlu
Yusuf Civan
Combinatorica, 2018, 38 : 1353 - 1383
[7] Saturation and Castelnuovo-Mumford regularity
Bermejo, Isabel
Gimenez, Philippe
JOURNAL OF ALGEBRA, 2006, 303 (02) : 592 - 617
[8] BOUNDS FOR THE CASTELNUOVO-MUMFORD REGULARITY
Brodmann, M.
Goetsch, T.
JOURNAL OF COMMUTATIVE ALGEBRA, 2009, 1 (02) : 197 - 225
[9] Castelnuovo-Mumford regularity by approximation
Derksen, H
Sidman, J
ADVANCES IN MATHEMATICS, 2004, 188 (01) : 104 - 123
[10] Geometric collections and Castelnuovo-Mumford regularity
Costa, L.
Miro-Roig, R. M.
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 143 : 557 - 578

← 1 2 3 4 5 →