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Period Spaces for p-divisible Groups (AM-141)
M. Rapoport & Th. Zink

Paperback | 1996 | $115.00 | ($69.00) | £85.95 | ISBN: 9780691027814
353 pp. | 6 x 9
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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.

Table of Contents:

Introduction
1p-adic symmetric domains3
2Quasi-isogenies of p-divisible groups49
3Moduli spaces of p-divisible groups69
Appendix: Normal forms of lattice chains131
4The formal Hecke correspondences197
5The period morphism and the rigid-analytic coverings229
6The p-adic uniformization of Shimura varieties273
Bibliography317
Index323

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