ENGLISH

Period Spaces for P-divisible Groups

By Michael Rapoport , Thomas Zink

Book information

Publisher
Princeton University Press
Year
1996
ISBN
0691027811, 9780691027814
Language
english
Format
PDF
Filesize
13 MB (13431547 bytes)
Series
Issue 141 of Annals of mathematics studies
Pages
324\343
Time added
2019-11-04 22:46:01

Description

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. padic symmetric domains..............3 Quasiisogenies of pdivisible groups..............49 Moduli spaces of pdivisible groups..............69 Normal forms of lattice chains..............131 The formal Hecke correspondences..............197

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