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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.19223 |
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| _version_ | 1866917937390026752 |
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| author | Panin, Ivan Stavrova, Anastasia |
| author_facet | Panin, Ivan Stavrova, Anastasia |
| contents | We prove that for any simply connected isotropic reductive group G over a Dedekind domain D, any Zariski-locally trivial principal G-bundle over D is trivial. The corresponding result for quasi-split groups was proved in 1967 by G. Harder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a theorem of Harder Panin, Ivan Stavrova, Anastasia Algebraic Geometry We prove that for any simply connected isotropic reductive group G over a Dedekind domain D, any Zariski-locally trivial principal G-bundle over D is trivial. The corresponding result for quasi-split groups was proved in 1967 by G. Harder. |
| title | On a theorem of Harder |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.19223 |