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Period Spaces for "P"-Divisible Groups
Author: M. Rapoport

ISBN: 9780691027814
Format: Paperback
Number Of Pages: 353
Published: 16 November 1995
Country of Publication: US
Dimensions (cm): 22.9 x 15.2 x 1.8
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.

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