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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2412.11723 |
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| _version_ | 1866915489571143680 |
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| author | Panin, I. Stavrova, A. |
| author_facet | Panin, I. Stavrova, A. |
| contents | Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's geometric presentation lemma in the DVR context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constant case of the Grothendieck-Serre conjecture in mixed characteristic Panin, I. Stavrova, A. Algebraic Geometry Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's geometric presentation lemma in the DVR context. |
| title | Constant case of the Grothendieck-Serre conjecture in mixed characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.11723 |