On a conjecture by Kalai

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 $h$-vectors of flag Cohen-Macaulay simplicial complexes are $h$-vectors of Cohen-Macaulay balanced simplicial complexes.

3 pages

References in corpus (2)

• The lex-plus-power inequality for local cohomology modules
• On the Eisenbud-Green-Harris Conjecture