$J$-invariant of linear algebraic groups of outer type
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909871611314176 |
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| author | Geldhauser, Nikita Zhykhovich, Maksim |
| author_facet | Geldhauser, Nikita Zhykhovich, Maksim |
| contents | We extend the notion of the $J$-invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-split twisted flag varieties. Besides, we establish some combinatorial patterns for normed Chow groups and motives and provide some explicit formulae for values of the $J$-invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02884 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | $J$-invariant of linear algebraic groups of outer type Geldhauser, Nikita Zhykhovich, Maksim Algebraic Geometry 20G15, 14C15 We extend the notion of the $J$-invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-split twisted flag varieties. Besides, we establish some combinatorial patterns for normed Chow groups and motives and provide some explicit formulae for values of the $J$-invariant. |
| title | $J$-invariant of linear algebraic groups of outer type |
| topic | Algebraic Geometry 20G15, 14C15 |
| url | https://arxiv.org/abs/2205.02884 |