Hilbert-Kunz multiplicity and reduction mod p

2004/07/29 by V. Trivedi, Trivedi, V. · 1 citation
Mathematics · #13A35 #13D40 #14H60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #math.AG #msc:13A35 #msc:13D40 #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0407513

Revised version, with more detailed exposition. Submitted for publication

openalex publication_date 2004/07/29 · arxiv created 2005/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Hilbert-Kunz multiplicities of the reductions to positive characteristics of an irreducible projective curve in characteristic 0 have a well-defined limit as the characteristic tends to infinity.

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