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

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Proceedings of the American Mathematical Society, 2022, vol. 150, num. 4, p. 1493-1503

# metadata.dc.rights[].value
cc-by-nc-nd (c) American Mathematical Society (AMS), 2022

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
The Hilbert-Kunz function of some quadratic quotients of the Rees algebra