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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Triples of arrangements and local systems


Author: Daniel C. Cohen
Journal: Proc. Amer. Math. Soc. 130 (2002), 3025-3031
MSC (2000): Primary 32S22; Secondary 52C35, 55N25, 14M12
Published electronically: March 15, 2002
MathSciNet review: 1908926
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Abstract: For a triple of complex hyperplane arrangements, there is a well-known long exact sequence relating the cohomology of the complements. We observe that this result extends to certain local coefficient systems, and use this extension to study the characteristic varieties of arrangements. We show that the first characteristic variety may contain components that are translated by characters of any order, thereby answering a question of A. Suciu.


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Additional Information

Daniel C. Cohen
Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
Email: cohen@math.lsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06428-6
PII: S 0002-9939(02)06428-6
Keywords: Arrangement, local system, characteristic variety, translated torus
Received by editor(s): April 9, 2001
Received by editor(s) in revised form: May 23, 2001
Published electronically: March 15, 2002
Additional Notes: Partially supported by Louisiana Board of Regents grant LEQSF(1999-2002)-RD-A-01 and by National Security Agency grant MDA904-00-1-0038
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2002 American Mathematical Society