Unimodular hunting

We develop a method initiated by Bacher and Venkov, and based on a study of the Kneser neighbors of the standard lattice Z n , which allows us to classify the integral unimodular Euclidean lattices of rank n.As an application, of computational flavor, we determine the isometry classes of unimodular lattices of rank 26 and 27.

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Publication Details

Journal
Algebraic geometry
Published
2025-10-24
DOI
https://doi.org/10.14231/ag-2025-022
Primary Topic
Evolutionary Game Theory and Cooperation
Type
article
Field-Weighted Citation Impact
0.00

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article

Unimodular hunting

Gaëtan Chenevier
Algebraic geometry
Evolutionary Game Theory and Cooperation
article

Unimodular hunting

Gaëtan Chenevier
article en

Abstract

We develop a method initiated by Bacher and Venkov, and based on a study of the Kneser neighbors of the standard lattice Z n , which allows us to classify the integral unimodular Euclidean lattices of rank n.As an application, of computational flavor, we determine the isometry classes of unimodular lattices of rank 26 and 27.

Algebraic geometry
Centre National de la Recherche Scientifique (FR), Département de mathématiques et applications (FR)
Agence Nationale de la Recherche
Openalex Percentile: Top 60%
Evolutionary Game Theory and Cooperation
DOIOpen Access PDFOpenAlex
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Unimodular hunting — Gaëtan Chenevier · Algebraic geometry (2025) | TGRS Research Map | TGRS