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arXiv · 2501.13300

Arithm\'etique des sch\'emas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local

Anis Zidani
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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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Anis Zidani. 2025-01-23. Arithm\'etique des sch\'emas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local. https://arxiv.org/abs/2501.13300

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