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

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

2005-12-04

arxiv.org/abs/math/0512086v1

Mathematics

Combinatorics

To appear in JCT A. 20 pages

Scientific paper

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.

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