Canonical liftings of Calabi–Yau hypersurfaces: Dwork hypersurfaces

期刊论文
出版模式：

开放获取
发表日期：

2025年3月21日

查看全文

Przemysław Grabowski

摘要

We explicitly compute canonical liftings modulo $p^2$ $p^{2}$ 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 $p^2$ $p^{2}$ .