Dwork Crystals I

DOI10.1093/imrn/rnaa119zbMath1492.14039arXiv1903.11155OpenAlexW2924364081MaRDI QIDQ5068156

Frits Beukers, Masha Vlasenko

Publication date: 5 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11155

zbMATH Keywords

formal groupsNewton polyhedronCartier operator\(p\)-adic analysisHasse-Witt matrixtoric hypersurfaces

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Fourier coefficients of automorphic forms (11F30) Generalized hypergeometric series, ({}_pF_q) (33C20) Varieties over finite and local fields (11G25) Formal groups, (p)-divisible groups (14L05) Non-Archimedean analysis (32P05)

Related Items (5)

Notes on solutions of KZ equations modulo 𝑝^{𝑠} and 𝑝-adic limit 𝑠→∞ ⋮ A whipple \(_7F_6\) formula revisited ⋮ Hasse-Witt matrices, unit roots and period integrals ⋮ Dynamical and qKZ equations modulo \(p^s\): an example ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting)

Cites Work

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• Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
• Higher Hasse-Witt matrices
• \(p\)-adic cycles
• On the differential equations satisfied by period matrices
• Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie
• Formal Group Laws Arising from Algebraic Varieties
• Gauss congruences for rational functions in several variables
• A p-adic Fixed Point Formula

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