$p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866912258934702080 |
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| author | Devalapurkar, Sanath K. Mondal, Shubhodip |
| author_facet | Devalapurkar, Sanath K. Mondal, Shubhodip |
| contents | We show that de Rham--Witt forms are naturally isomorphic to $p$-typical curves on $p$-adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this by more generally equipping a related result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt--Morrow--Scholze. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16623 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms Devalapurkar, Sanath K. Mondal, Shubhodip K-Theory and Homology Algebraic Geometry Algebraic Topology We show that de Rham--Witt forms are naturally isomorphic to $p$-typical curves on $p$-adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this by more generally equipping a related result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt--Morrow--Scholze. |
| title | $p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms |
| topic | K-Theory and Homology Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2309.16623 |