Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular

2002/09/22 by Craig Huneke, Yongwei Yao
Mathematics · #math.AC #msc:13D40 #msc:13A30 #msc:13H10

paper · pdf

published as Proc. Amer. Math. Soc. vol 130, 2002, pp. 661-665

arxiv created 2002/09/22 · arxiv updated 2009/11/30

Abstract

We give a new and simple proof that unmixed local rings having Hilbert-Kunz multiplicity equal to 1 must be regular.

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• Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
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