Hilbert-Kunz multiplicity of powers of ideals in dimension two

2024/12/10 by De Stefani, Alessandro, Masuti, Shreedevi K., Rossi, Maria Evelina +1
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.07546

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.

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