Bounding Multiplicity by Shifts in the Taylor Resolution

Details Bounding Multiplicity by Shifts in the Taylor Resolution Bounding Multiplicity by Shifts in the Taylor Resolution

2007-11-12

arxiv.org/abs/0711.1691v1

Mathematics

Commutative Algebra

Scientific paper

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.

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