(G, \mu)-displays and Rapoport-Zink spaces
Algebraic Geometry
2018-05-14 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.1702.00291,
title = {(G, \mu)-displays and Rapoport-Zink spaces},
author = {O. Bueltel and G. Pappas},
journal= {arXiv preprint arXiv:1702.00291},
year = {2018}
}
Comments
45 pages, some corrections