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

Kawahara, Yukihito

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

Vanishing and bases for cohomology of partially trivial local systems on hyperplane arrangements
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by Yukihito Kawahara PDF

Proc. Amer. Math. Soc. 133 (2005), 1907-1915 Request permission

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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