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

2017/02/01 by Oliver Bueltel, Bueltel, O., G. Pappas +1 · 1 citation
Engineering · Mathematics · #Advanced Algebra and Geometry #Advanced Numerical Analysis Techniques #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1702.00291

openalex publication_date 2017/02/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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