Rost nilpotence for twisted Milnor hypersurfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911198512939008 |
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| author | De Clercq, Charles Marth, Evan Zainoulline, Kirill |
| author_facet | De Clercq, Charles Marth, Evan Zainoulline, Kirill |
| contents | We show that the strong Rost nilpotence holds for motives of generic hyperplane sections of twisted Milnor hypersurfaces. Hence, we provide a new family of examples of smooth projective algebraic varieties which satisfy the strong Rost nilpotence principle. As an application, we compute the $p$-canonical dimension for such varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rost nilpotence for twisted Milnor hypersurfaces De Clercq, Charles Marth, Evan Zainoulline, Kirill Algebraic Geometry 14C15, 14M15, 14L30 We show that the strong Rost nilpotence holds for motives of generic hyperplane sections of twisted Milnor hypersurfaces. Hence, we provide a new family of examples of smooth projective algebraic varieties which satisfy the strong Rost nilpotence principle. As an application, we compute the $p$-canonical dimension for such varieties. |
| title | Rost nilpotence for twisted Milnor hypersurfaces |
| topic | Algebraic Geometry 14C15, 14M15, 14L30 |
| url | https://arxiv.org/abs/2510.07095 |