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Bounds on the Hilbert-Kunz Multiplicity.

Mon, 02/28/2011 - 16:01 — SomNambul
Authors: Yi Zhang, Hailong Dao, Craig Huneke, Olgur Celikbas
Subjects: Commutative Algebra
link: http://arxiv.org/abs/1102.5101
Abstract

In this paper we give new lower bounds on the Hilbert-Kunz multiplicity of
unmixed non-regular local rings, bounding them uniformly away from one. Our
results improve previous work of Aberbach and Enescu.