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On period spaces for \(p\)-divisible groups. (English. Abridged French version) Zbl 1161.14032
Summary: In their book “Period spaces for \(p\)-divisible groups” [Ann. Math. Stud. 141 (1996; Zbl 0873.14039)], M. Rapoport and Th. 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.

14L05 Formal groups, \(p\)-divisible groups
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