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

被引：16

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

[41] PRIME GRAPHS, MATCHINGS AND THE CASTELNUOVO-MUMFORD REGULARITY
Biyikoglu, Turker
Civan, Yusuf
JOURNAL OF COMMUTATIVE ALGEBRA, 2019, 11 (01) : 1 - 27
[42] Castelnuovo-Mumford Regularity and Computing the de Rham Cohomology of Smooth Projective Varieties
Scheiblechner, Peter
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2012, 12 (05) : 541 - 571
[43] Castelnuovo-Mumford regularity bounds for singular surfaces
Niu, Wenbo
MATHEMATISCHE ZEITSCHRIFT, 2015, 280 (3-4) : 609 - 620
[44] On the Castelnuovo-Mumford regularity of rings of polynomial invariants
Symonds, Peter
ANNALS OF MATHEMATICS, 2011, 174 (01) : 499 - 517
[45] Castelnuovo-Mumford regularity and analytic deviation of ideals
Trung, NV
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 : 41 - 55
[46] Irrational asymptotic behaviour of Castelnuovo-Mumford regularity
Cutkosky, SD
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2000, 522 : 93 - 103
[47] Veronese transform and Castelnuovo-Mumford regularity of modules
Morales, Marcel
Nguyen Thi Dung
TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (04) : 838 - 849
[48] Non-commutative Castelnuovo-Mumford regularity
Jorgensen, P
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 125 : 203 - 221
[49] Castelnuovo-Mumford regularity and Ratliff Rush closure
Rossi, Maria Evelina
Dinh Thanh Trung
Ngo Viet Trung
JOURNAL OF ALGEBRA, 2018, 504 : 568 - 586
[50] CASTELNUOVO-MUMFORD REGULARITY AND GORENSTEINNESS OF FIBER CONE
Jayanthan, A. V.
Nanduri, Ramakrishna
COMMUNICATIONS IN ALGEBRA, 2012, 40 (04) : 1338 - 1351

← 1 2 3 4 5 →