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2-ADIC INTEGRAL CANONICAL MODELS

Part of: Arithmetic algebraic geometry Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  05 October 2016

WANSU KIM  and
KEERTHI MADAPUSI PERA
WANSU KIM
Affiliation:
Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, UK; wansu.kim@kcl.ac.uk
KEERTHI MADAPUSI PERA
Affiliation:
Department of Mathematics, University of Chicago, 5734 S University Ave, Chicago, IL, USA; keerthi@math.uchicago.edu

Abstract

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We use Lau’s classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.

MSC classification

Primary: 14G35: Modular and Shimura varieties
Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties
Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 4 , 2016 , e28
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s) 2016

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