Arithmétique des schémas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916959476514816 |
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| author | Zidani, Anis |
| author_facet | Zidani, Anis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmétique des schémas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local Zidani, Anis Algebraic Geometry 20G10, 20G15, 14L10, 14L15 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. |
| title | Arithmétique des schémas en groupes de Bruhat-Tits sur un anneau de Dedekind semi-local |
| topic | Algebraic Geometry 20G10, 20G15, 14L10, 14L15 |
| url | https://arxiv.org/abs/2501.13300 |