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TRUNCATED BARSOTTI–TATE GROUPS AND DISPLAYS

Part of: Algebraic groups (Co)homology theory

Published online by Cambridge University Press:  04 April 2016

Eike Lau  and
Thomas Zink
Eike Lau
Affiliation:
Institut für Mathematik, Universität Paderborn, 33098 Paderborn, Germany
Thomas Zink
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
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Abstract

We define truncated displays over rings in which a prime $p$ is nilpotent, we associate crystals to truncated displays, and we define functors from truncated displays to truncated Barsotti–Tate groups.

Keywords

p-divisible groupsdisplayscrystalline cohomology

MSC classification

Primary: 14L05: Formal groups, $p$-divisible groups 14F30: $p$-adic cohomology, crystalline cohomology

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 17 , Issue 3 , June 2018 , pp. 541 - 581
Copyright
© Cambridge University Press 2016 

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References

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