Canonical liftings of Calabi–Yau hypersurfaces Dwork hypersurfaces

Open Access
Authors
Publication date 04-2025
Journal Manuscripta mathematica
Article number 27
Volume | Issue number 176 | 2
Number of pages 21
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.1007/s00229-025-01625-y
Other links https://www.scopus.com/pages/publications/105000514798
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