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arXiv · 2401.07945

Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces

Przemysław Grabowski
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Abstract

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 $p^2$.

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Przemysław Grabowski. 2024-01-15. Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces. https://arxiv.org/abs/2401.07945

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