Minimality of hyperplane arrangements and basis of local system cohomology

Details Minimality of hyperplane arrangements and basis of local system cohomology Minimality of hyperplane arrangements and basis of local system cohomology

2010-02-10

arxiv.org/abs/1002.2038v2

Mathematics

Algebraic Geometry

19 pages, v2: corrected typos

Scientific paper

The purpose of this paper is applying minimality of hyperplane arrangements to local system cohomology groups. It is well known that twisted cohomology groups with coefficients in a generic rank one local system vanish except in the top degree, and bounded chambers form a basis of the remaining cohomology group. We determine precisely when this phenomenon happens for two-dimensional arrangements.

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