On period spaces for p-divisible groups
arXiv:0709.3444 · doi:10.1016/j.crma.2008.07.003
Abstract
In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine's filtered isocrystals, and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question of Grothendieck. We give examples showing that only in rare cases the image is all of the Rapoport-Zink period space.
6 pages, v2: minor changes, v3: new exposition, no new results