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

Paper | 1995 | $77.00 / £53.00
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
1	p-adic symmetric domains	3
2	Quasi-isogenies of p-divisible groups	49
3	Moduli spaces of p-divisible groups	69
	Appendix: Normal forms of lattice chains	131
4	The formal Hecke correspondences	197
5	The period morphism and the rigid-analytic coverings	229
6	The p-adic uniformization of Shimura varieties	273
	Bibliography	317
	Index	323

Another Princeton book by Michael Rapoport:

• Modular Forms and Special Cycles on Shimura Curves. (AM-161).

Series:

• Annals of Mathematics Studies
  Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors

Subject Area:

• Mathematics

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