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arxiv: 1702.00291 · v2 · pith:LJKQWONSnew · submitted 2017-02-01 · 🧮 math.AG · math.NT

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

classification 🧮 math.AG math.NT
keywords displaysgrouprapoport-zinkcertaincocharacterdefinedefinedextension
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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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