TY - BOOK ID - 10581434 TI - Period spaces for p-divisible groups AU - Rapoport, M. AU - Zink, Th. PY - 1996 VL - 141 SN - 0691027811 1400882605 9780691027814 PB - Princeton (N.J.): Princeton university press DB - UniCat KW - p-adic groups KW - p-divisible groups KW - Moduli theory KW - 512.7 KW - Theory of moduli KW - Analytic spaces KW - Functions of several complex variables KW - Geometry, Algebraic KW - Groups, p-divisible KW - Group schemes (Mathematics) KW - Groups, p-adic KW - Group theory KW - Algebraic geometry. Commutative rings and algebras KW - 512.7 Algebraic geometry. Commutative rings and algebras KW - p-divisible groups. KW - Moduli theory. KW - p-adic groups. KW - Abelian variety. KW - Addition. KW - Alexander Grothendieck. KW - Algebraic closure. KW - Algebraic number field. KW - Algebraic space. KW - Algebraically closed field. KW - Artinian ring. KW - Automorphism. KW - Base change. KW - Basis (linear algebra). KW - Big O notation. KW - Bilinear form. KW - Canonical map. KW - Cohomology. KW - Cokernel. KW - Commutative algebra. KW - Commutative ring. KW - Complex multiplication. KW - Conjecture. KW - Covering space. KW - Degenerate bilinear form. KW - Diagram (category theory). KW - Dimension (vector space). KW - Dimension. KW - Duality (mathematics). KW - Elementary function. KW - Epimorphism. KW - Equation. KW - Existential quantification. KW - Fiber bundle. KW - Field of fractions. KW - Finite field. KW - Formal scheme. KW - Functor. KW - Galois group. KW - General linear group. KW - Geometric invariant theory. KW - Hensel's lemma. KW - Homomorphism. KW - Initial and terminal objects. KW - Inner automorphism. KW - Integral domain. KW - Irreducible component. KW - Isogeny. KW - Isomorphism class. KW - Linear algebra. KW - Linear algebraic group. KW - Local ring. KW - Local system. KW - Mathematical induction. KW - Maximal ideal. KW - Maximal torus. KW - Module (mathematics). KW - Moduli space. KW - Monomorphism. KW - Morita equivalence. KW - Morphism. KW - Multiplicative group. KW - Noetherian ring. KW - Open set. KW - Orthogonal basis. KW - Orthogonal complement. KW - Orthonormal basis. KW - P-adic number. KW - Parity (mathematics). KW - Period mapping. KW - Prime element. KW - Prime number. KW - Projective line. KW - Projective space. KW - Quaternion algebra. KW - Reductive group. KW - Residue field. KW - Rigid analytic space. KW - Semisimple algebra. KW - Sheaf (mathematics). KW - Shimura variety. KW - Special case. KW - Subalgebra. KW - Subgroup. KW - Subset. KW - Summation. KW - Supersingular elliptic curve. KW - Support (mathematics). KW - Surjective function. KW - Symmetric bilinear form. KW - Symmetric space. KW - Tate module. KW - Tensor algebra. KW - Tensor product. KW - Theorem. KW - Topological ring. KW - Topology. KW - Torsor (algebraic geometry). KW - Uniformization theorem. KW - Uniformization. KW - Unitary group. KW - Weil group. KW - Zariski topology. UR - https://www.unicat.be/uniCat?func=search&query=sysid:10581434 AB - 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. ER -