Triples of arrangements and local systems

Cohen, Daniel

doi:10.1090/S0002-9939-02-06428-6

Triples of arrangements and local systems
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by Daniel C. Cohen

Proc. Amer. Math. Soc. 130 (2002), 3025-3031

DOI: https://doi.org/10.1090/S0002-9939-02-06428-6

Published electronically: 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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