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Period Spaces for p-divisible Groups (AM-141), Volume 141
ISBN-13:
9781400882601
Veröffentl:
2016
Seiten:
353
Autor:
Michael Rapoport
Serie:
Annals of Mathematics Studies
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
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.
Introduction 1 p-adic symmetric domains 32 Quasi-isogenies of p-divisible groups 493 Moduli spaces of p-divisible groups 69 Appendix: Normal forms of lattice chains 1314 The formal Hecke correspondences 1975 The period morphism and the rigid-analytic coverings 2296 The p-adic uniformization of Shimura varieties 273 Bibliography 317 Index 323
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