g-elements, finite buildings and higher Cohen-Macaulay connectivity

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The main result is a proof that the g-vector of a simplicial complex with a convex ear decomposition is an M-vector. This is a generalization of similar results for matroid complexes. We also show that a finite building has a convex ear decomposition. This leads to connections between higher Cohen-Macaulay connectivity and increasing h-vectors.
To appear in JCT A. 20 pages

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Combinatorics, Commutative Algebra, 05E25; 13F55

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http://salesiana.dossiersoluciones.com/handle/123456789/106083

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512086
 http://arxiv.org/abs/math/0512086

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arXiv