Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings-Reference-Cited by-同舟云学术

Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings

Published:2001-06 Issue: Volume:162 Page:87-110
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Watanabe Kei-Ichi,Yoshida Ken-Ichi

Abstract

We study the behavior of Hilbert-Kunz multiplicity for powers of an ideal, especially the case of stable ideals and ideals in local rings of dimension 2. We can characterize regular local rings by certain equality between Hilbert-Kunz multiplicity and usual multiplicity.We show that rings with “minimal” Hilbert-Kunz multiplicity relative to usual multiplicity are “Veronese subrings” in dimension 2.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference32 articles.

1. On the associated graded ring of a local Cohen-Macaulay ring

2. The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal

3. Characterizations of Regular Local Rings of Characteristic p

4. Hilbert–Kunz Multiplicity and an Inequality between Multiplicity and Colength

5. Some surprising Hilbert-Kunz functions

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