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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Triples of arrangements and local systems
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by Daniel C. Cohen PDF
Proc. Amer. Math. Soc. 130 (2002), 3025-3031 Request permission


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
  • MR Author ID: 290411
  • ORCID: 0000-0002-5845-2523
  • Email:
  • 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
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3025-3031
  • MSC (2000): Primary 32S22; Secondary 52C35, 55N25, 14M12
  • DOI:
  • MathSciNet review: 1908926