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RAPOPORT–ZINK SPACES OF HODGE TYPE

Part of: (Co)homology theory Algebraic groups

Published online by Cambridge University Press:  07 June 2018

WANSU KIM
WANSU KIM*
Affiliation:
Department of Mathematics, KIAS, 85 Hoegiro, Dongdaemun-gu, Seoul 02455, South Korea; wansukim@kias.re.kr

Abstract

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When $p>2$ , we construct a Hodge-type analogue of Rapoport–Zink spaces under the unramifiedness assumption, as formal schemes parametrizing ‘deformations’ (up to quasi-isogeny) of $p$ -divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expected extra structure, providing more examples of ‘local Shimura varieties’ conjectured by Rapoport and Viehmann.

MSC classification

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

Information

Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 6 , 2018 , e8
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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 2018

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