$(G, \unicode[STIX]{x1D707})$-DISPLAYS AND RAPOPORT–ZINK SPACES. (19th July 2020)

• Record Type: Journal Article
• Authors: Bültel, O.; Pappas, G.
• Is Part Of: Journal of the Institute of Mathematics of Jussieu. Volume 19:Number 4(2020)
• Page Start: 1211
• Page End: 1257
• Publication Date: 2020-07-19
• Subjects: 11-XX Number Theory, -- 14-XX Algebraic Geometry, -- p-divisible groups; Mathematics -- Periodicals; 510.5
• DOI: 10.1017/S1474748018000373
• Languages: English
• ISSNs: 1474-7480

Abstract

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.