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Triples of arrangements and local systems
Author(s):
Daniel
C.
Cohen
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3025-3031.
MSC (2000):
Primary 32S22;
Secondary 52C35, 55N25, 14M12
Posted:
March 15, 2002
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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:
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
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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