Period Spaces for p-divisible Groups

Erscheinungsjahr 1996
ISBN: 978-0-691-02781-4
Verlag: Princeton University Press

Buch, Englisch, Band (AM-141), 353 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 529 g

Reihe: Annals of Mathematics Studies

In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established.The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds' original construction. In addition, the material is illustrated throughout the book with numerous examples.

Autoren/Hrsg.

Rapoport, Michael

Zink, Thomas

Inhaltsverzeichnis

Introduction1p-adic symmetric domains32Quasi-isogenies of p-divisible groups493Moduli spaces of p-divisible groups69Appendix: Normal forms of lattice chains1314The formal Hecke correspondences1975The period morphism and the rigid-analytic coverings2296The p-adic uniformization of Shimura varieties273Bibliography317Index323