On a conjecture by Kalai
Commutative Algebra
2012-12-18 v1 Combinatorics
Abstract
We show that monomial ideals generated in degree two satisfy a conjecture by Eisenbud, Green and Harris. In particular we give a partial answer to a conjecture of Kalai by proving that -vectors of flag Cohen-Macaulay simplicial complexes are -vectors of Cohen-Macaulay balanced simplicial complexes.
Keywords
Cite
@article{arxiv.1212.3726,
title = {On a conjecture by Kalai},
author = {Giulio Caviglia and Alexandru Constantinescu and Matteo Varbaro},
journal= {arXiv preprint arXiv:1212.3726},
year = {2012}
}
Comments
3 pages