Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913197589528576 |
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| author | Grabowski, Przemysław |
| author_facet | Grabowski, Przemysław |
| contents | We explicitly compute canonical liftings modulo $p^2$ in a sense of Achinger--Zdanowicz of Dwork hypersurfaces. The computation involves studying a compatibility between Hodge filtrations and a crystalline Frobenius. In particular, remarkably, we explicitly compute a partial data of the crystalline Frobenius modulo $p^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07945 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces Grabowski, Przemysław Algebraic Geometry 14G17, 14M17, 14M25, 14J45 We explicitly compute canonical liftings modulo $p^2$ in a sense of Achinger--Zdanowicz of Dwork hypersurfaces. The computation involves studying a compatibility between Hodge filtrations and a crystalline Frobenius. In particular, remarkably, we explicitly compute a partial data of the crystalline Frobenius modulo $p^2$. |
| title | Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces |
| topic | Algebraic Geometry 14G17, 14M17, 14M25, 14J45 |
| url | https://arxiv.org/abs/2401.07945 |