Hilbert-Kunz multiplicity of products of ideals
Commutative Algebra
2016-02-29 v2
Abstract
We give bounds for the Hilbert-Kunz multiplicity of the product of two ideals, and we characterize the equality in terms of the tight closures of the ideals. Connections are drawn with -spread and with ordinary length calculations.
Keywords
Cite
@article{arxiv.1601.00014,
title = {Hilbert-Kunz multiplicity of products of ideals},
author = {Neil Epstein and Javid Validashti},
journal= {arXiv preprint arXiv:1601.00014},
year = {2016}
}
Comments
Since version 1, we cleaned up the exposition in the introduction and removed extraneous material from the body of the text. 9 pages, comments welcome