On period spaces for p-divisible groups

Details On period spaces for p-divisible groups On period spaces for p-divisible groups

2007-09-21

arxiv.org/abs/0709.3444v3

Mathematics

Number Theory

6 pages, v2: minor changes, v3: new exposition, no new results

Scientific paper

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.

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