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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
DOI: https://doi.org/10.1090/S0002-9939-05-07745-2
Published electronically: 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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Additional Information

Yukihito Kawahara
Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo 192-0397, Japan
Email: ykawa@comp.metro-u.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-05-07745-2
Keywords: Hyperplane arrangement, local system, twisted de Rham cohomology.
Received by editor(s): November 7, 2003
Received by editor(s) in revised form: February 26, 2004
Published electronically: January 21, 2005
Communicated by: Paul Goerss
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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