Hilbert-Kunz multiplicity of powers of ideals in dimension two
Commutative Algebra
2025-04-22 v2
Abstract
We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a "Ratliff-Rush version" of the Hilbert-Kunz multiplicity.
Keywords
Cite
@article{arxiv.2412.07546,
title = {Hilbert-Kunz multiplicity of powers of ideals in dimension two},
author = {Alessandro De Stefani and Shreedevi K. Masuti and Maria Evelina Rossi and Jugal K. Verma},
journal= {arXiv preprint arXiv:2412.07546},
year = {2025}
}
Comments
minor fixes