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$(G,\unicode[STIX]{x1D707})$-DISPLAYS AND RAPOPORT–ZINK SPACES

Published online by Cambridge University Press:  19 September 2018

O. Bültel  and
G. Pappas
O. Bültel
Affiliation:
Aldegreverstrasse 28, 45147 Essen, Germany
G. Pappas
Affiliation:
Department of Mathematics, Michigan State University, E. Lansing, MI 48824, USA (pappas@math.msu.edu)
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Abstract

Let $(G,\unicode[STIX]{x1D707})$ be a pair of a reductive group $G$ over the $p$-adic integers and a minuscule cocharacter $\unicode[STIX]{x1D707}$ of $G$ defined over an unramified extension. We introduce and study ‘$(G,\unicode[STIX]{x1D707})$-displays’ which generalize Zink’s Witt vector displays. We use these to define certain Rapoport–Zink formal schemes purely group theoretically, i.e. without $p$-divisible groups.

Keywords

11-XX Number Theory14-XX Algebraic Geometryp-divisible groups
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 19 , Issue 4 , July 2020 , pp. 1211 - 1257
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Copyright
© Cambridge University Press 2018

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Footnotes

G.P. is partially supported by NSF grants DMS-1360733 and DMS-1701619.

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