Period spaces for p-divisible groups

書誌事項

Period spaces for p-divisible groups

by M. Rapoport and Th. Zink

(Annals of mathematics studies, no. 141)

Princeton University Press, 1996

  • : hbk
  • : pbk

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注記

"Main results were presented at the Oberwolfach meeting on arithmetic algebraic geometry in July 1992"--P. xx

内容説明・目次

内容説明

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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