Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Michael Rapoport, Thomas Zink.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Rapoport, Michael,; Zink, Thomas,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1996
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 141
• Physical Description: 1 online resource (353 p.)
• Other title: Frontmatter --; Contents --; Introduction --; 1. p-adic symmetric domains --; 2. Quasi-isogenies of p-divisible groups --; 3. Moduli spaces of p-divisible groups --; Appendix: Normal forms of lattice chains --; 4. The formal Hecke correspondences --; 5. The period morphism and the rigid-analytic coverings --; 6. The p-adic uniformization of Shimura varieties --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400882601; 9783110494914; 9783110442496
• DOI: 10.1515/9781400882601
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Michael Rapoport, Thomas Zink.

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.