Period Spaces for p-divisible Groups

Michael Rapoport, Thomas Zink (Autoren)

Buch | Softcover

353 Seiten

1996
Princeton University Press (Verlag)
978-0-691-02781-4 (ISBN)

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A monograph that associates p-adic period domains to arbitrary reductive groups. Using the concept of rigid-analytic period maps, it investigates the relation of p-adic period domains to moduli space of p-divisible groups. It also establishes non-archimedean uniformization theorems for general Shimura varieties.

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.

M. Rapoport is Professor of Mathematics at the University of Wuppertal. Th. Zink is Professor of Mathematics at the University of Bielefeld.

Introduction1p-adic symmetric domains32Quasi-isogenies of p-divisible groups493Moduli spaces of p-divisible groups69Appendix: Normal forms of lattice chains1314The formal Hecke correspondences1975The period morphism and the rigid-analytic coverings2296The p-adic uniformization of Shimura varieties273Bibliography317Index323

Erscheint lt. Verlag	11.1.1996
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	482 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-691-02781-1 / 0691027811
ISBN-13	978-0-691-02781-4 / 9780691027814
Zustand	Neuware