Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular

Details Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular

2002-09-22

arxiv.org/abs/math/0209291v1

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

Mathematics

Commutative Algebra

Scientific paper

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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