On period spaces for p-divisible groups
Number Theory
2014-01-28 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.0709.3444,
title = {On period spaces for p-divisible groups},
author = {Urs Hartl},
journal= {arXiv preprint arXiv:0709.3444},
year = {2014}
}
Comments
6 pages, v2: minor changes, v3: new exposition, no new results