Mixed Motives
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916916990312448 |
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| author | Barbieri-Viale, L. |
| author_facet | Barbieri-Viale, L. |
| contents | A mixed Weil cohomology with values in an abelian rigid tensor category is a cohomological functor on Voevodsky's category of motives which is satisfying Künneth formula and such that its restriction to Chow motives is a Weil cohomology. We show that the universal mixed Weil cohomology exists. Nori motives can be recovered as a universal enrichment of Betti cohomology via a localisation. This new picture is drawing some consequences with respect to the theory of mixed motives in arbitrary characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14106 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed Motives Barbieri-Viale, L. Algebraic Geometry Category Theory K-Theory and Homology Number Theory 18F99, 14F99, 19E15, 14F42 A mixed Weil cohomology with values in an abelian rigid tensor category is a cohomological functor on Voevodsky's category of motives which is satisfying Künneth formula and such that its restriction to Chow motives is a Weil cohomology. We show that the universal mixed Weil cohomology exists. Nori motives can be recovered as a universal enrichment of Betti cohomology via a localisation. This new picture is drawing some consequences with respect to the theory of mixed motives in arbitrary characteristic. |
| title | Mixed Motives |
| topic | Algebraic Geometry Category Theory K-Theory and Homology Number Theory 18F99, 14F99, 19E15, 14F42 |
| url | https://arxiv.org/abs/2501.14106 |