arXiv Analytics

Sign in

arXiv:0709.3444 [math.NT]AbstractReferencesReviewsResources

On period spaces for p-divisible groups

Urs Hartl

Published 2007-09-21, updated 2008-04-25Version 3

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.

Comments: 6 pages, v2: minor changes, v3: new exposition, no new results
Journal: Comptes Rendus Math\'ematique Acad. Sci. Paris, Ser. I 346 (2008), 1123-1128
Categories: math.NT, math.AG
Subjects: 11S20, 14G22, 14L05, 14M15
Related articles: Most relevant | Search more
arXiv:1211.6357 [math.NT] (Published 2012-11-27, updated 2013-04-13)
Moduli of p-divisible groups
arXiv:math/0607508 [math.NT] (Published 2006-07-20, updated 2010-06-15)
Deformation subspaces of p-divisible groups as formal Lie groups associated to p-divisible groups
arXiv:math/0605254 [math.NT] (Published 2006-05-10, updated 2013-01-22)
On a Conjecture of Rapoport and Zink

Links

Toolbox