Period Spaces for p-divisible Groups (AM-141), Volume 141

Michael Rapoport; Thomas Zink

Published by Princeton University Press 1996

Period Spaces for p-divisible Groups (AM-141), Volume 141

Michael Rapoport and Thomas Zink

Volume 141 in the series Annals of Mathematics Studies

https://doi.org/10.1515/9781400882601

Overview
Contents

About this book

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.

Author / Editor information

M. Rapoport is Professor of Mathematics at the University of Wuppertal. Th. Zink is Professor of Mathematics at the University of Bielefeld.

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	v
Introduction Requires Authentication Unlicensed Licensed Download PDF	vii
1. p—adic symmetric domains Requires Authentication Unlicensed Licensed Download PDF	1
2. Quasi—isogenies of p-divisible groups Requires Authentication Unlicensed Licensed Download PDF	49
3. Moduli spaces of p-divisible groups Requires Authentication Unlicensed Licensed Download PDF	69
Appendix: Normal forms of lattice chains Requires Authentication Unlicensed Licensed Download PDF	131
4. The formal Hecke correspondences Requires Authentication Unlicensed Licensed Download PDF	197
5. The period morphism and the rigid—analytic coverings Requires Authentication Unlicensed Licensed Download PDF	229
6. The p-adic uniformization of Shimura varieties Requires Authentication Unlicensed Licensed Download PDF	273
Bibliography Requires Authentication Unlicensed Licensed Download PDF	317
Index Requires Authentication Unlicensed Licensed Download PDF	323