Linear balls and the multiplicity conjecture
Commutative Algebra
2007-05-25 v1
Abstract
A linear ball is a simplicial complex whose geometric realization is homeomorphic to a ball and whose Stanley--Reisner ring has a linear resolution. It turns out that the Stanley--Reisner ring of the sphere which is the boundary complex of a linear ball satisfies the multiplicity conjecture. A class of shellable spheres arising naturally from commutative algebra whose Stanley--Reisner rings satisfy the multiplicity conjecture will be presented.
Cite
@article{arxiv.0705.3531,
title = {Linear balls and the multiplicity conjecture},
author = {Takayuki Hibi and Pooja Singla},
journal= {arXiv preprint arXiv:0705.3531},
year = {2007}
}