Bounds on the Hilbert-Kunz Multiplicity
Commutative Algebra
2011-04-26 v2
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.
Keywords
Cite
@article{arxiv.1102.5101,
title = {Bounds on the Hilbert-Kunz Multiplicity},
author = {Olgur Celikbas and Hailong Dao and Craig Huneke and Yi Zhang},
journal= {arXiv preprint arXiv:1102.5101},
year = {2011}
}
Comments
Some minor typos fixed, especially Theorem 3.7 (min instead of max). Corollary 2.4 is added by the referee's suggestion