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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2003.08906 |
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| _version_ | 1866909749697576960 |
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| author | Krishnamoorthy, Raju Yang, Jinbang Zuo, Kang |
| author_facet | Krishnamoorthy, Raju Yang, Jinbang Zuo, Kang |
| contents | As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary technique is $p$-adic nonabelian Hodge theory. Conditional on certain foundational results in \emph{logarithmic} $p$-adic Hodge theory, we also show a logarithmic analog. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_08906 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A Lefschetz theorem for crystalline representations Krishnamoorthy, Raju Yang, Jinbang Zuo, Kang Algebraic Geometry As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary technique is $p$-adic nonabelian Hodge theory. Conditional on certain foundational results in \emph{logarithmic} $p$-adic Hodge theory, we also show a logarithmic analog. |
| title | A Lefschetz theorem for crystalline representations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2003.08906 |