二阶理想幂的Hilbert-Kunz多重性

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-05-07 DOI:10.1112/blms.70086

Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi, Jugal K. Verma

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引用次数: 0

摘要

研究了局部环上理想的Hilbert-Kunz幂重的性质。在2维，我们给出了Smirnov提出的一些问题的答案，并给出了一个标准来回答他的一个问题，即Hilbert-Kunz多重性的“Ratliff-Rush版本”。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Hilbert–Kunz multiplicity of powers of ideals in dimension two

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Hilbert–Kunz multiplicity of powers of ideals in dimension two

We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, 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.

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