Perfect-Prismatic F-Crystals and p-adic Shtukas in Families
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911847053000704 |
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| author | Güthge, Anton |
| author_facet | Güthge, Anton |
| contents | We show an equivalence between the two categories in the title, thus establishing a link between Frobenius-linear objects of formal (schematic) and analytic (adic) nature. We will do this for arbitrary p-complete rings, arbitrary affine-flat group schemes and without making use of the Frobenius structure. As a possible application, we take a look at prismatic cohomology of K3-surfaces and complete intersections of projective space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01108 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Perfect-Prismatic F-Crystals and p-adic Shtukas in Families Güthge, Anton Algebraic Geometry We show an equivalence between the two categories in the title, thus establishing a link between Frobenius-linear objects of formal (schematic) and analytic (adic) nature. We will do this for arbitrary p-complete rings, arbitrary affine-flat group schemes and without making use of the Frobenius structure. As a possible application, we take a look at prismatic cohomology of K3-surfaces and complete intersections of projective space. |
| title | Perfect-Prismatic F-Crystals and p-adic Shtukas in Families |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2307.01108 |