A direct formulation of Dieudonné module theory

DOI10.1360/012013-131zbMATH Open1488.14015arXiv1202.2604OpenAlexW2964319876MaRDI QIDQ5017805

Jianke Chen, Kezheng Li

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Abstract: We define a Dieudonn'e module as the module of Dieudonn'e elements, and set up Dieudonn'e module theory in a simple way. Under this formulation we give explicit formulae for the duality and the corresponding differential operators.

Full work available at URL: https://arxiv.org/abs/1202.2604

zbMATH Keywords

dualitydifferential operatorsDieudonné moduleDieudonné elementsquasi-polarizations

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

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