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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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

Author(s): 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 | References | Similar articles | Additional information

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: 10.1090/S0002-9939-05-07745-2
PII: S 0002-9939(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
Posted: January 21, 2005
Communicated by: Paul Goerss
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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