Period Spaces for p-divisible Groups

By: Michael Rapoport, Thomas Zink

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Paperback | 20 March 1996

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353 Pages

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15.6 x 23.3 x 2.2

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Algebra Number Theory

Introduction
p-adic symmetric domains	p. 3
Quasi-isogenies of p-divisible groups	p. 49
Moduli spaces of p-divisible groups	p. 69
Appendix: Normal forms of lattice chains	p. 131
The formal Hecke correspondences	p. 197
The period morphism and the rigid-analytic coverings	p. 229
The p-adic uniformization of Shimura varieties	p. 273
Bibliography	p. 317
Index	p. 323
Table of Contents provided by Publisher. All Rights Reserved.

Period Spaces for p-divisible Groups

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