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Arithmétique des schémas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local

Published 23 Jan 2025 in math.AG | (2501.13300v1)

Abstract: The aim of this paper is to lay the foundations for the cohomological study of Bruhat-Tits group schemes over a semi-local Dedekind ring. In particular, we obtain a simplified proof of the Grothendieck-Serre conjecture in this case and also an analogous result for Bruhat-Tits group schemes of a semisimple simply connected group.

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