Crystalline Cohomology and the Geometry of Perfectoid Shimura Varieties at Infinite Level
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| Natura: | Recurso digital |
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2026
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| _version_ | 1866901397530738688 |
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| author | Revista, Zen MFC, 10 |
| author_facet | Revista, Zen MFC, 10 |
| contents | We establish a canonical isomorphism between the crystalline cohomology of the special fiber of a perfectoid Shimura variety and the p-adic de Rham cohomology of its generic fiber via the Ainf-cohomology of the associated adic space. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18145680 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Crystalline Cohomology and the Geometry of Perfectoid Shimura Varieties at Infinite Level Revista, Zen MFC, 10 Perfectoid Spaces Shimura Varieties Crystalline Cohomology p-adic Hodge Theory Breuil-Kisin Modules Fargues-Fontaine Curve Witt Vectors We establish a canonical isomorphism between the crystalline cohomology of the special fiber of a perfectoid Shimura variety and the p-adic de Rham cohomology of its generic fiber via the Ainf-cohomology of the associated adic space. |
| title | Crystalline Cohomology and the Geometry of Perfectoid Shimura Varieties at Infinite Level |
| topic | Perfectoid Spaces Shimura Varieties Crystalline Cohomology p-adic Hodge Theory Breuil-Kisin Modules Fargues-Fontaine Curve Witt Vectors |
| url | https://doi.org/10.5281/zenodo.18145680 |