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Title: | The Hilbert-Kunz function of some quadratic quotients of the Rees algebra |
Author: | Strazzanti, Francesco Zarzuela, Santiago |
Keywords: | Anells locals Àlgebra commutativa Àlgebra homològica Local rings Commutative algebra Homological algebra |
Issue Date: | Apr-2022 |
Publisher: | American Mathematical Society (AMS) |
Abstract: | 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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1090/proc/15819 |
It is part of: | Proceedings of the American Mathematical Society, 2022, vol. 150, num. 4, p. 1493-1503 |
URI: | http://hdl.handle.net/2445/193549 |
Related resource: | https://doi.org/10.1090/proc/15819 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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