Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra

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dc.creatorEisenbud, David
dc.creatorPopescu, Sorin
dc.creatorYuzvinsky, Sergey
dc.date1999-12-28
dc.date2001-01-02
dc.date.accessioned2026-07-07T05:32:30Z
dc.date.available2026-07-07T05:32:30Z
dc.descriptionWe 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.
dc.description22 pages, plain TeX, uses diagrams.tex, one new section added
dc.identifierhttps://arxiv.org/abs/math/9912212
dc.identifierhttp://arxiv.org/abs/math/9912212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79679
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subjectCombinatorics
dc.subject15A75, 52C35, 55N45 (Primary); 55N99, 14Q99 (Secondary)
dc.titleHyperplane Arrangement Cohomology and Monomials in the Exterior Algebra
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