Prismatic $F$-Gauges and Fontaine--Laffaille modules
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912463366127616 |
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| author | Terentiuk, Gleb Vologodsky, Vadim Xu, Yujie |
| author_facet | Terentiuk, Gleb Vologodsky, Vadim Xu, Yujie |
| contents | Let $k$ be a perfect field of characteristic $p$ and $W(k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by objects whose Hodge-Tate weights are between $[0,p-2]$ and an appropriate derived category of Fontaine-Laffaille modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prismatic $F$-Gauges and Fontaine--Laffaille modules Terentiuk, Gleb Vologodsky, Vadim Xu, Yujie Number Theory Algebraic Geometry 14F30, 14F40, 14D10, 14G20, 14G22, 11G25, 13D10 Let $k$ be a perfect field of characteristic $p$ and $W(k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by objects whose Hodge-Tate weights are between $[0,p-2]$ and an appropriate derived category of Fontaine-Laffaille modules. |
| title | Prismatic $F$-Gauges and Fontaine--Laffaille modules |
| topic | Number Theory Algebraic Geometry 14F30, 14F40, 14D10, 14G20, 14G22, 11G25, 13D10 |
| url | https://arxiv.org/abs/2402.17755 |