2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127999We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.25 pages, minor corrections, author's last name changed from Mierendorff to Viehmann, to appear in Journal of Algebraic GeometryAlgebraic Geometry14L05, 14K10 (Primary) 14G35 (Secondary)text