h-vectors of matroid complexes
Commutative Algebra
2012-12-17 v2 Combinatorics
Abstract
We partition in classes the set of matroids of fixed dimension on a fixed vertex set. In each class we identify two special matroids, respectively with minimal and maximal h-vector in that class. Such extremal matroids also satisfy a long-standing conjecture of Stanley. As a byproduct of this theory we establish Stanley's conjecture in various cases, for example the case of Cohen-Macaulay type less than or equal to 3.
Cite
@article{arxiv.1212.3226,
title = {h-vectors of matroid complexes},
author = {Alexandru Constantinescu and Matteo Varbaro},
journal= {arXiv preprint arXiv:1212.3226},
year = {2012}
}
Comments
18 pages, 2 figures