Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces

Published 15 Jan 2024 in math.AG | (2401.07945v1)

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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Authors (1)

Przemysław Grabowski

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