Loop torsors. Theory and applications
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909422362558464 |
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| author | Gille, Philippe Chernousov, Vladimir Pianzola, Arturo |
| author_facet | Gille, Philippe Chernousov, Vladimir Pianzola, Arturo |
| contents | Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theory that can yields results in positive characteristic, and for group schemes that are not of finite type. The relation between loop and so-called toral torsors, is one of the central questions in the area. The present paper addresses this question in full generality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loop torsors. Theory and applications Gille, Philippe Chernousov, Vladimir Pianzola, Arturo Algebraic Geometry Rings and Algebras Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theory that can yields results in positive characteristic, and for group schemes that are not of finite type. The relation between loop and so-called toral torsors, is one of the central questions in the area. The present paper addresses this question in full generality. |
| title | Loop torsors. Theory and applications |
| topic | Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2412.07294 |