The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

Autor:	Francesco Strazzanti, Santiago Zarzuela Armengou
Rok vydání:	2022
Předmět:	Mathematics::Commutative Algebra Anells locals Local rings Homological algebra Applied Mathematics General Mathematics FOS: Mathematics Àlgebra homològica Commutative algebra Mathematics - Commutative Algebra Commutative Algebra (math.AC) Àlgebra commutativa
Zdroj:	Proceedings of the American Mathematical Society. 150:1493-1503
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/15819
Popis:	Given a commutative local ring $(R,\mathfrak m)$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[It]$ 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 Hilbert-Kunz 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. Comment: To appear in the Proceedings of the American Mathematical Society
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7675418cf77ea226222293c3f8fbd012 https://doi.org/10.1090/proc/15819 Zobrazit plný text záznamu