On the Gille theorem for the relative projective line: I
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914716309258240 |
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| author | Panin, Ivan Stavrova, Anastasia |
| author_facet | Panin, Ivan Stavrova, Anastasia |
| contents | We prove a relative version of a theorem on torsors on the projective line due to Philippe Gille. As a consequence we obtain a ``weak homotopy invariance'' result for torsors under reductive group schemes defined over arbitrary semi-local regular domains. Specifically, only regular semi-local domains with infinite residue fields are regarded in this preprint. However, all results of the present preprint are true (after minor modifications) for arbitrary semi-local regular domains. This will be the topic of our next preprint. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09465 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Gille theorem for the relative projective line: I Panin, Ivan Stavrova, Anastasia Algebraic Geometry K-Theory and Homology We prove a relative version of a theorem on torsors on the projective line due to Philippe Gille. As a consequence we obtain a ``weak homotopy invariance'' result for torsors under reductive group schemes defined over arbitrary semi-local regular domains. Specifically, only regular semi-local domains with infinite residue fields are regarded in this preprint. However, all results of the present preprint are true (after minor modifications) for arbitrary semi-local regular domains. This will be the topic of our next preprint. |
| title | On the Gille theorem for the relative projective line: I |
| topic | Algebraic Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2304.09465 |