Bounds on the Hilbert-Kunz Multiplicity

Details Bounds on the Hilbert-Kunz Multiplicity Bounds on the Hilbert-Kunz Multiplicity

2011-02-24

arxiv.org/abs/1102.5101v2

Mathematics

Commutative Algebra

Some minor typos fixed, especially Theorem 3.7 (min instead of max). Corollary 2.4 is added by the referee's suggestion

Scientific paper

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.

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