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(G, μ)-displays and Rapoport-Zink spaces

Published 1 Feb 2017 in math.AG and math.NT | (1702.00291v2)

Abstract: Let (G, \mu) be a pair of a reductive group G over the p-adic integers and a minuscule cocharacter {\mu} of G defined over an unramified extension. We introduce and study "(G, \mu)-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.

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