Hilbert-Kunz multiplicity of powers of ideals in dimension two
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908327659700224 |
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| author | De Stefani, Alessandro Masuti, Shreedevi K. Rossi, Maria Evelina Verma, Jugal K. |
| author_facet | De Stefani, Alessandro Masuti, Shreedevi K. Rossi, Maria Evelina Verma, Jugal K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert-Kunz multiplicity of powers of ideals in dimension two De Stefani, Alessandro Masuti, Shreedevi K. Rossi, Maria Evelina Verma, Jugal K. Commutative Algebra 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. |
| title | Hilbert-Kunz multiplicity of powers of ideals in dimension two |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2412.07546 |