Weil restriction and the motivic cycle class map
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914371381231616 |
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| author | Ge, Qi Zhu, Guangzhao |
| author_facet | Ge, Qi Zhu, Guangzhao |
| contents | We construct the Weil restriction map for l-adic cohomology and, more generally, for mixed Weil cohomology theories. We study its compatibility with the motivic cycle class map and show that these constructions admit a natural interpretation in the triangulated categories of motives. Using Grothendieck's six-functor formalism, we prove that the Weil restriction map arises intrinsically from the functorial structures of these categories. This provides a conceptual framework for understanding the interaction between Weil restriction, motivic cohomology, and realization functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09215 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weil restriction and the motivic cycle class map Ge, Qi Zhu, Guangzhao Algebraic Geometry 14F42, 14C25 We construct the Weil restriction map for l-adic cohomology and, more generally, for mixed Weil cohomology theories. We study its compatibility with the motivic cycle class map and show that these constructions admit a natural interpretation in the triangulated categories of motives. Using Grothendieck's six-functor formalism, we prove that the Weil restriction map arises intrinsically from the functorial structures of these categories. This provides a conceptual framework for understanding the interaction between Weil restriction, motivic cohomology, and realization functors. |
| title | Weil restriction and the motivic cycle class map |
| topic | Algebraic Geometry 14F42, 14C25 |
| url | https://arxiv.org/abs/2602.09215 |