Extension and lifting of G-bundles on stacks
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914935311695872 |
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| author | Wedhorn, Torsten |
| author_facet | Wedhorn, Torsten |
| contents | We study extension properties for morphisms of stacks of bundles for group algebraic spaces. Applications are a short proof of the classification of bundles on the projective line for smooth geometrically reductive groups and the existence of splittings of filtered fiber functors for gerbes bound by affine pro-smooth group schemes defined over rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extension and lifting of G-bundles on stacks Wedhorn, Torsten Algebraic Geometry 14D23 (Primary) 14L15, 14L30, 14N05 (Secondary) We study extension properties for morphisms of stacks of bundles for group algebraic spaces. Applications are a short proof of the classification of bundles on the projective line for smooth geometrically reductive groups and the existence of splittings of filtered fiber functors for gerbes bound by affine pro-smooth group schemes defined over rings. |
| title | Extension and lifting of G-bundles on stacks |
| topic | Algebraic Geometry 14D23 (Primary) 14L15, 14L30, 14N05 (Secondary) |
| url | https://arxiv.org/abs/2311.05151 |