A quadratic family of integral two-torsion classes in a Huneke-Wiegand Koszul presentation

For every integer p>=8, we prove that an explicit integral Koszul presentation associated with a previously constructed Huneke-Wiegand family has a direct summand (Z/2)^q, where q=floor(((p-2)^2+3)/12). The classes are indexed by the strictly increasing nonnegative triples i<j

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-05
DOI
https://doi.org/10.5281/zenodo.22342976
Primary Topic
Commutative Algebra and Its Applications
Type
preprint
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preprint

A quadratic family of integral two-torsion classes in a Huneke-Wiegand Koszul presentation

Felipe A. Santibáñez-Leal
Zenodo (CERN European Organization for Nuclear Research)
Commutative Algebra and Its Applications
preprint

A quadratic family of integral two-torsion classes in a Huneke-Wiegand Koszul presentation

Felipe A. Santibáñez-Leal
preprint en

Abstract

For every integer p>=8, we prove that an explicit integral Koszul presentation associated with a previously constructed Huneke-Wiegand family has a direct summand (Z/2)^q, where q=floor(((p-2)^2+3)/12). The classes are indexed by the strictly increasing nonnegative triples i<j

Zenodo (CERN European Organization for Nuclear Research)
Instituto Nacional de Derechos Humanos (CL)
Reduced inequalities
Commutative Algebra and Its Applications
DOIOpen Access PDFOpenAlex
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