Hilbert–Kunz multiplicity of powers of ideals in dimension two
Abstract 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.
Authors
- Alessandro De Stefani (ORCID: https://orcid.org/0000-0003-3094-956X)
- Maria Evelina Rossi (ORCID: https://orcid.org/0000-0001-7039-5296)
- J. K. Verma (ORCID: https://orcid.org/0000-0002-8331-400X)
- Shreedevi K. Masuti (ORCID: https://orcid.org/0000-0002-5893-6958)
Institutions
- Indian Institute of Technology Gandhinagar (IN)
- Indian Institute of Technology Dharwad (IN)
- University of Genoa (IT)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-05-07
- DOI
- https://doi.org/10.1112/blms.70086
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca