Transfers on $\mathbb A^1$-connected components of quasi-split groups and the norm principle
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917165435715584 |
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| author | Hogadi, Amit Sawant, Anand |
| author_facet | Hogadi, Amit Sawant, Anand |
| contents | We show that the sheaf of $\mathbb A^1$-connected components of a quasi-split group over a perfect field is a strictly $\mathbb A^1$-invariant sheaf with (Voevodsky) transfers. As a consequence, we show that the norm principle holds for any quasi-split group over a perfect field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transfers on $\mathbb A^1$-connected components of quasi-split groups and the norm principle Hogadi, Amit Sawant, Anand Algebraic Geometry Algebraic Topology Group Theory K-Theory and Homology 14F42, 20G15 We show that the sheaf of $\mathbb A^1$-connected components of a quasi-split group over a perfect field is a strictly $\mathbb A^1$-invariant sheaf with (Voevodsky) transfers. As a consequence, we show that the norm principle holds for any quasi-split group over a perfect field. |
| title | Transfers on $\mathbb A^1$-connected components of quasi-split groups and the norm principle |
| topic | Algebraic Geometry Algebraic Topology Group Theory K-Theory and Homology 14F42, 20G15 |
| url | https://arxiv.org/abs/2512.15324 |