Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra

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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.
22 pages, plain TeX, uses diagrams.tex, one new section added

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Algebraic Geometry, Algebraic Topology, Combinatorics, 15A75, 52C35, 55N45 (Primary); 55N99, 14Q99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/79679

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912212
 http://arxiv.org/abs/math/9912212

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arXiv