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