Notes on Hilbert-Kunz multiplicity of Rees algebras

2003/03/04 by Kazufumi Eto, Ken-ichi Yoshida, Eto, Kazufumi +1 · 1 citation
Mathematics · #13A30 #13H15 #13H35 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13A30 #msc:13H15 #msc:13H35

paper · pdf · doi:10.48550/arxiv.math/0303035

arxiv created 2003/03/04 · openalex publication_date 2003/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we estimate the Hilbert-Kunz multiplicity of the (extended) Rees algebras in terms of some invariants of the base ring. Also, we give an explicit formula for the Hilbert-Kunz multiplicities of Rees algebras over Veronese subrings.

Cited by

• Minimal Hilbert-Kunz multiplicity

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