Motivic six-functor formalism for log schemes
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916156996059136 |
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| author | Park, Doosung |
| author_facet | Park, Doosung |
| contents | We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincaré duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Motivic six-functor formalism for log schemes Park, Doosung Algebraic Geometry 14F42, 14A21 We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincaré duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes. |
| title | Motivic six-functor formalism for log schemes |
| topic | Algebraic Geometry 14F42, 14A21 |
| url | https://arxiv.org/abs/2403.07645 |