g-elements, finite buildings and higher Cohen-Macaulay connectivity
Combinatorics
2007-05-23 v1 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0512086,
title = {g-elements, finite buildings and higher Cohen-Macaulay connectivity},
author = {E. Swartz},
journal= {arXiv preprint arXiv:math/0512086},
year = {2007}
}
Comments
To appear in JCT A. 20 pages