g-elements of matroid complexes

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dc.creatorSwartz, Edward
dc.date2002-10-24
dc.date.accessioned2026-07-07T04:52:18Z
dc.date.available2026-07-07T04:52:18Z
dc.descriptionLet K be the face ring of the independence complex of a matroid. We show that if T is a generic linear system of parameters, then K/T satisfies a weak form of the Hard Lefschetz Theorem. As a result, the first half of the h-vector of the complex satisfies inequalities similar to the g-theorem for simplicial polytopes.
dc.description6 pages. Will appear in J. Comb. Theory Ser. B
dc.identifierhttps://arxiv.org/abs/math/0210376
dc.identifierhttp://arxiv.org/abs/math/0210376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65416
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05B35 (Primary) 13F55 (Secondary)
dc.titleg-elements of matroid complexes
dc.typetext

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