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Period Spaces for p-divisible Groups (AM-141), Volume 141
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Michael Rapoport
Language:
English
Published/Copyright:
1996
About this book
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.
Author / Editor information
M. Rapoport is Professor of Mathematics at the University of Wuppertal. Th. Zink is Professor of Mathematics at the University of Bielefeld.
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 2, 2016
eBook ISBN:
9781400882601
Pages and Images/Illustrations in book
Main content:
353
eBook ISBN:
9781400882601
Keywords for this book
P-adic number; Morphism; Formal scheme; Moduli space; Theorem; Functor; Shimura variety; Uniformization theorem; Isogeny; Uniformization; Semisimple algebra; Zariski topology; Quaternion algebra; Dimension (vector space); Torsor (algebraic geometry); Basis (linear algebra); Subgroup; Diagram (category theory); Orthonormal basis; Inner automorphism; Tensor algebra; Algebraic space; General linear group; Tate module; Initial and terminal objects; Automorphism; Local system; Artinian ring; Commutative ring; Cohomology; Linear algebraic group; Prime number; Degenerate bilinear form; Surjective function; Isomorphism class; Topological ring; Bilinear form; Noetherian ring; Algebraic number field; Prime element; Galois group; Subset; Irreducible component; Special case; Conjecture; Open set; Tensor product; Commutative algebra; Integral domain; Weil group; Mathematical induction; Symmetric space; Hensel's lemma; Abelian variety; Projective line; Sheaf (mathematics); Big O notation; Base change; Epimorphism; Cokernel; Reductive group; Monomorphism; Multiplicative group; Duality (mathematics); Elementary function; Summation; Maximal ideal; Subalgebra; Geometric invariant theory; Supersingular elliptic curve
Audience(s) for this book
College/higher education;Professional and scholarly;
