Canonical liftings of Calabi--Yau hypersurfaces: Dwork hypersurfaces

2024/01/15 by Grabowski, Przemysław
#14G17 #14J45 #14M17 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.07945

Abstract

We explicitly compute canonical liftings modulo p² 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 p².

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