g-elements of matroid complexes
组合数学
2007-05-23 v1 交换代数
摘要
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.
引用
@article{arxiv.math/0210376,
title = {g-elements of matroid complexes},
author = {Edward Swartz},
journal= {arXiv preprint arXiv:math/0210376},
year = {2007}
}
备注
6 pages. Will appear in J. Comb. Theory Ser. B