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)
Cited by
17 articles.
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1. Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures;Mathematical Proceedings of the Cambridge Philosophical Society;2022-12-21
2. The Shape of Hilbert–Kunz Functions;Association for Women in Mathematics Series;2021
3. Asymptotic Lech's inequality;Advances in Mathematics;2020-10
4. On lower bounds for s-multiplicities;Journal of Algebra;2019-08
5. Hilbert–Kunz multiplicity of the powers of an ideal;Proceedings of the American Mathematical Society;2019-04-08