On the multiplicity conjecture for non-Cohen-Macaulay simplicial complexes
Commutative Algebra
2008-02-12 v1
Abstract
We prove a reformulation of the multiplicity upper bound conjecture and use that reformulation to prove it for three-dimensional simplicial complexes and homology manifolds with many vertices. We provide necessary conditions for a Cohen-Macaulay complex with many vertices to have a pure minimal free resolution and a characterization of flag complexes whose minimal free resolution is pure.
Cite
@article{arxiv.0802.1282,
title = {On the multiplicity conjecture for non-Cohen-Macaulay simplicial complexes},
author = {Michael Goff},
journal= {arXiv preprint arXiv:0802.1282},
year = {2008}
}