Generic and special constructions of pure O-sequences
Commutative Algebra
2016-04-08 v2 Combinatorics
Abstract
It is shown that the h-vectors of Stanley-Reisner rings of three classes of matroids are pure O-sequences. The classes are (a) matroids that are truncations of other matroids, or more generally of Cohen-Macaulay complexes, (b) matroids whose dual is (rank + 2)-partite, and (c) matroids of Cohen-Macaulay type at most five. Consequences for the computational search for a counterexample to a conjecture of Stanley are discussed.
Cite
@article{arxiv.1212.3426,
title = {Generic and special constructions of pure O-sequences},
author = {Alexandru Constantinescu and Thomas Kahle and Matteo Varbaro},
journal= {arXiv preprint arXiv:1212.3426},
year = {2016}
}
Comments
16 pages, v2: various small improvements, accepted by Bulletin of the London Math. Society