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Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien

2025/09/22 by Anis Zidani, Zidani, Anis
Mathematics · #14L10 #14L15 #20G10 #20G15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Analytic Number Theory Research #FOS: Mathematics #Group Theory (math.GR) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2509.17929

openalex publication_date 2025/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this paper is to refine some aspects of the cohomological study of Bruhat-Tits subgroups. It aims to complement the work done in the 1987 article. As an application, we obtain a result "à la Grothendieck-Serre" for Bruhat-Tits subgroups of a semisimple simply connected group and the exact calculation of the obstruction in the case of quasi-split adjoint groups.

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