2024/10/24 by Gaëtan Chenevier, Chenevier, Gaëtan
Agricultural and Biological Sciences · #11E12 #11E20 #11E41 #11F60 #11H55 #11H56 #11Y40 #Combinatorics (math.CO) #FOS: Mathematics #Land Rights and Reforms #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2410.18788
openalex publication_date 2024/10/24 · openalex created_date 2024/11/04 · openalex updated_date 2026/07/28
We develop a method initiated by Bacher and Venkov, and based on a study of the Kneser neighbors of the standard lattice Zn, which allows to classify the integral unimodular Euclidean lattices of rank n. As an application, of computational flavour, we determine the isometry classes of unimodular lattices of rank 26 and 27.