Triples of arrangements and local systems

Details Triples of arrangements and local systems Triples of arrangements and local systems

2001-05-09

arxiv.org/abs/math/0105062v1

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

Mathematics

Algebraic Geometry

LaTeX, 6 pages

Scientific paper

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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