On the Unipotent $p$-adic Simpson Correspondence
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910357334786048 |
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| author | Nery, Thiago Solovera e |
| author_facet | Nery, Thiago Solovera e |
| contents | The goal of this paper is to show a (derived) $p$-adic Simpson correspondence for (locally) unipotent coefficients on smooth rigid-analytic varieties. Our results depend on a deformation to $\mathbf{B}_\mathtt{dr}^+/ξ^2$, and not on a choice of exponential (as required for more general coefficients). Our methods are inherently higher categorical, hinging on the theory of modules over $\mathbf{E}_\infty$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Unipotent $p$-adic Simpson Correspondence Nery, Thiago Solovera e Algebraic Geometry The goal of this paper is to show a (derived) $p$-adic Simpson correspondence for (locally) unipotent coefficients on smooth rigid-analytic varieties. Our results depend on a deformation to $\mathbf{B}_\mathtt{dr}^+/ξ^2$, and not on a choice of exponential (as required for more general coefficients). Our methods are inherently higher categorical, hinging on the theory of modules over $\mathbf{E}_\infty$-algebras. |
| title | On the Unipotent $p$-adic Simpson Correspondence |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.04565 |