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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.
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页码：1907 / 1915
页数：9
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