Hilbert–Kunz multiplicity of powers of ideals in dimension two

De Stefani, AlessandroAlessandroDe StefaniMasuti, Shreedevi K.Shreedevi K.MasutiRossi, Maria EvelinaMaria EvelinaRossiVerma, Jugal K.Jugal K.Verma2025-08-312025-08-312025-07-0110.1112/blms.700862-s2.0-105004675470https://d8.irins.org/handle/IITG2025/28084We 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.falseHilbert–Kunz multiplicity of powers of ideals in dimension twoArticlehttps://doi.org/10.1112/blms.70086146921202155-2176July 20250arJournal0