Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra
Algebraic Geometry
2007-05-23 v3 Algebraic Topology
Combinatorics
Abstract
We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X. We study invariants of X that can be deduced from this resolution. A key ingredient is a result of Aramova, Avramov, and Herzog [2000] on resolutions of monomial ideals in the exterior algebra. We give a new conceptual proof of this result.
Cite
@article{arxiv.math/9912212,
title = {Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra},
author = {David Eisenbud and Sorin Popescu and Sergey Yuzvinsky},
journal= {arXiv preprint arXiv:math/9912212},
year = {2007}
}
Comments
22 pages, plain TeX, uses diagrams.tex, one new section added