Bounding Multiplicity by Shifts in the Taylor Resolution
Commutative Algebra
2007-11-13 v1
Abstract
A weaker form of the multiplicity conjecture of Herzog, Huneke, and Srinivasan is proven for two classes of monomial ideals: quadratic monomial ideals and squarefree monomial ideals with sufficiently many variables relative to the Krull dimension. It is also shown that tensor products, as well as Stanley-Reisner ideals of certain unions, satisfy the multiplicity conjecture if all the components do. Conditions under which the bounds are achieved are also studied.
Cite
@article{arxiv.0711.1691,
title = {Bounding Multiplicity by Shifts in the Taylor Resolution},
author = {Michael Goff},
journal= {arXiv preprint arXiv:0711.1691},
year = {2007}
}