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Bounds on the Hilbert-Kunz multiplicity

Published online by Cambridge University Press:  11 January 2016

Olgur Celikbas ,
Hailong Dao ,
Craig Huneke  and
Yi Zhang
Olgur Celikbas
Affiliation:
Department of Mathematics University of Kansas Lawrence, Kansas 66045-7523, USAocelikbas@math.ku.edu
Hailong Dao
Affiliation:
Department of Mathematics University of Kansas Lawrence, Kansas 66045-7523, USAhdao@math.ku.edu
Craig Huneke
Affiliation:
Department of Mathematics University of Kansas Lawrence, Kansas 66045-7523, USAhuneke@math.ku.edu
Yi Zhang
Affiliation:
Department of Mathematics University of Minnesota Minneapolis, Minnesota 55455, USAzhang397@umn.edu
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Abstract

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In this paper we give new lower bounds on the Hilbert-Kunz multiplicity of unmixed nonregular local rings, bounding them uniformly away from 1. Our results improve previous work of Aberbach and Enescu.

Keywords

13A3513B2213H1514B05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 205 , March 2012 , pp. 149 - 165
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

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