Compatibility of $F$-isocrystals on adjoint Shimura varieties
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916724941520896 |
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| author | Huryn, Jake Kedlaya, Kiran Klevdal, Christian Patrikis, Stefan |
| author_facet | Huryn, Jake Kedlaya, Kiran Klevdal, Christian Patrikis, Stefan |
| contents | In this article, we extend past results of the last two authors to include compatibility of canonical $\ell$-adic local systems and canonical $F$-isocrystals on adjoint Shimura varieties in the superrigid regime. Our method relies on the crystallinity of canonical $p$-adic local systems due to Esnault--Groechenig as well as Margulis superrigidity and the crystalline-to-étale companion construction of Drinfeld and Kedlaya. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compatibility of $F$-isocrystals on adjoint Shimura varieties Huryn, Jake Kedlaya, Kiran Klevdal, Christian Patrikis, Stefan Number Theory Algebraic Geometry 11G18, 14G35 In this article, we extend past results of the last two authors to include compatibility of canonical $\ell$-adic local systems and canonical $F$-isocrystals on adjoint Shimura varieties in the superrigid regime. Our method relies on the crystallinity of canonical $p$-adic local systems due to Esnault--Groechenig as well as Margulis superrigidity and the crystalline-to-étale companion construction of Drinfeld and Kedlaya. |
| title | Compatibility of $F$-isocrystals on adjoint Shimura varieties |
| topic | Number Theory Algebraic Geometry 11G18, 14G35 |
| url | https://arxiv.org/abs/2505.04492 |