Vanishing and bases for cohomology of partially trivial local systems on hyperplane arrangements

被引：1

作者：

Kawahara, Y ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo 1920397, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 07期

关键词：

hyperplane arrangement; local system; twisted de Rham cohomology;

D O I：

10.1090/S0002-9939-05-07745-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a vanishing theorem and construct bases for the cohomology of partially trivial local systems on complements of hyperplane arrangements. As a result, we obtain a non-resonance condition for partially trivial local systems.

引用

页码：1907 / 1915

页数：9

共 50 条

[1] Cohomology of local systems coming fromp-adic hyperplane arrangements
Gil Alon
[J]. Israel Journal of Mathematics, 2005, 147 : 189 - 207
[2] beta nbc-bases for cohomology of local systems on hyperplane complements
Falk, M
Terao, H
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (01) : 189 - 202
[3] Minimality of hyperplane arrangements and basis of local system cohomology
Yoshinaga, Masahiko
[J]. SINGULARITIES IN GEOMETRY AND TOPOLOGY: STRASBOURG 2009, 2012, 20 : 345 - 362
[4] Cohomology of local systems coming from p-adic hyperplane arrangements
Alon, G
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2005, 147 (1) : 189 - 207
[5] A vanishing theorem for hyperplane cohomology
Lehrer, GI
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1996, 53 (03) : 361 - 368
[6] COHOMOLOGY AND INTERSECTION COHOMOLOGY OF COMPLEX HYPERPLANE ARRANGEMENTS
COHEN, DC
[J]. ADVANCES IN MATHEMATICS, 1993, 97 (02) : 231 - 266
[7] First Milnor cohomology of hyperplane arrangements
Budur, Nero
Dimca, Alexandru
Saito, Morihiko
[J]. TOPOLOGY OF ALGEBRAIC VARIETIES AND SINGULARITIES, 2011, 538 : 279 - +
[8] Motivic cohomology of the complement of hyperplane arrangements
Chatzistamatiou, Andre
[J]. DUKE MATHEMATICAL JOURNAL, 2007, 138 (03) : 375 - 389
[9] Cohomology bases for the De Concini–Procesi models of hyperplane arrangements and sums over trees
Sergey Yuzvinsky
[J]. Inventiones mathematicae, 1997, 127 : 319 - 335
[10] Cohomology bases for the De Concini Procesi models of hyperplane arrangements and sums over trees
Yuzvinsky, S
[J]. INVENTIONES MATHEMATICAE, 1997, 127 (02) : 319 - 335

← 1 2 3 4 5 →