Work

Unimodular hunting

Year: 2025

Type: article

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.

Source: Algebraic geometry

DOI: 10.14231/ag-2025-022

Author: Gaëtan Chenevier

Institutions: Centre National de la Recherche Scientifique, Département de mathématiques et applications

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Cohomology of locally symmetric spaces