Chow rings of quasi-split geometrically almost simple algebraic groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913533242900480 |
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| author | Ananyevskiy, Alexey Geldhauser, Nikita |
| author_facet | Ananyevskiy, Alexey Geldhauser, Nikita |
| contents | We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split groups done by Kac to the non-split quasi-split case. For the proof we introduce and study equivariant conormed Chow rings, which are well adapted to the study of quasi-split groups and their homogeneous varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chow rings of quasi-split geometrically almost simple algebraic groups Ananyevskiy, Alexey Geldhauser, Nikita Algebraic Geometry Algebraic Topology K-Theory and Homology 14C15 14L10 20G10 20G15 We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split groups done by Kac to the non-split quasi-split case. For the proof we introduce and study equivariant conormed Chow rings, which are well adapted to the study of quasi-split groups and their homogeneous varieties. |
| title | Chow rings of quasi-split geometrically almost simple algebraic groups |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 14C15 14L10 20G10 20G15 |
| url | https://arxiv.org/abs/2408.09390 |