Period Spaces for p-divisible Groups
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A01=Michael Rapoport
A01=Thomas Zink
Abelian variety
Algebraic number field
Algebraic space
Artinian ring
Author_Michael Rapoport
Author_Thomas Zink
Automorphism
Base change
Basis (linear algebra)
Big O notation
Bilinear form
Category=PB
Cohomology
Cokernel
Commutative algebra
Commutative ring
Conjecture
Degenerate bilinear form
Diagram (category theory)
Dimension (vector space)
Duality (mathematics)
Elementary function
Epimorphism
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Formal scheme
Functor
Galois group
General linear group
Geometric invariant theory
Hensel's lemma
Initial and terminal objects
Inner automorphism
Integral domain
Irreducible component
Isogeny
Isomorphism class
Linear algebraic group
Local system
Mathematical induction
Maximal ideal
Moduli space
Monomorphism
Morphism
Multiplicative group
Noetherian ring
Open set
Orthonormal basis
P-adic number
Prime element
Prime number
Projective line
Quaternion algebra
Reductive group
Semisimple algebra
Sheaf (mathematics)
Shimura variety
Special case
Subalgebra
Subgroup
Subset
Summation
Supersingular elliptic curve
Surjective function
Symmetric space
Tate module
Tensor algebra
Tensor product
Theorem
Topological ring
Torsor (algebraic geometry)
Uniformization
Uniformization theorem
Weil group
Zariski topology
Product details
- ISBN 9780691027814
- Weight: 482g
- Dimensions: 152 x 229mm
- Publication Date: 11 Jan 1996
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
