g-elements of matroid complexes

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Let 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.
6 pages. Will appear in J. Comb. Theory Ser. B

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Combinatorics, Commutative Algebra, 05B35 (Primary) 13F55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/65416

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210376
 http://arxiv.org/abs/math/0210376

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arXiv