Hilbert–Kunz multiplicity of binoids

Bayarjargal Batsukh; Holger Brenner

doi:10.1216/jca.2021.13.1

Abstract

We prove in a broad combinatorial setting, namely for finitely generated semipositive cancellative reduced binoids, that the Hilbert–Kunz multiplicity is a rational number independent of the characteristic.

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Bayarjargal Batsukh. Holger Brenner. "Hilbert–Kunz multiplicity of binoids." J. Commut. Algebra 13 (1) 1 - 27, Spring 2021. https://doi.org/10.1216/jca.2021.13.1

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Received: 28 February 2018; Revised: 19 August 2019; Accepted: 4 June 2018; Published: Spring 2021

First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/jca.2021.13.1

Subjects:

Primary: 05E40 , 13D40 , 13F55 , 14M25

Keywords: binoid , Hilbert–Kunz multiplicity

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