Triples of arrangements and local systems
Algebraic Geometry
2007-05-23 v1 Combinatorics
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.
Cite
@article{arxiv.math/0105062,
title = {Triples of arrangements and local systems},
author = {Daniel C. Cohen},
journal= {arXiv preprint arXiv:math/0105062},
year = {2007}
}
Comments
LaTeX, 6 pages