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

Kawahara, Yukihito

doi:10.1090/S0002-9939-05-07745-2

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ISSN 1088-6826(online) ISSN 0002-9939(print)

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

Author: Yukihito Kawahara
Journal: Proc. Amer. Math. Soc. 133 (2005), 1907-1915
MSC (2000): Primary 14F40; Secondary 32S22, 55N25
Posted: January 21, 2005
MathSciNet review: 2137854
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Abstract: 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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