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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/193549
The Hilbert-Kunz function of some quadratic quotients of the Rees algebra
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Given a commutative local ring $(R, \mathfrak{m})$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[I t]$ has been recently studied as a unified approach to the Nagata's idealization and the amalgamated duplication and as a way to construct interesting examples, especially integral domains. When $R$ is noetherian of prime characteristic, we compute the HilbertKunz function of the members of this family and, provided that either $I$ is $\mathfrak{m}$-primary or $R$ is regular and F-finite, we also find their Hilbert-Kunz multiplicity. Some consequences and examples are explored.
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STRAZZANTI, Francesco and ZARZUELA, Santiago. The Hilbert-Kunz function of some quadratic quotients of the Rees algebra. Proceedings of the American Mathematical Society. 2022. Vol. 150, num. 4, pags. 1493-1503. ISSN 0002-9939. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/193549