Cycle Spaces of Flag Domains A Complex Geometric Viewpoint /

This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, as well as th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fels, Gregor (Autor), Huckleberry, Alan (Autor), Wolf, Joseph A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Colección:Progress in Mathematics, 245
Temas:
Geometry, Differential.
Topological groups.
Lie groups.
Functions of complex variables.
Global analysis (Mathematics).
Manifolds (Mathematics).
Algebraic geometry.
Quantum physics.
Differential Geometry.
Topological Groups and Lie Groups.
Several Complex Variables and Analytic Spaces.
Global Analysis and Analysis on Manifolds.
Algebraic Geometry.
Quantum Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • to Flag Domain Theory
  • Structure of Complex Flag Manifolds
  • Real Group Orbits
  • Orbit Structure for Hermitian Symmetric Spaces
  • Open Orbits
  • The Cycle Space of a Flag Domain
  • Cycle Spaces as Universal Domains
  • Universal Domains
  • B-Invariant Hypersurfaces in MZ
  • Orbit Duality via Momentum Geometry
  • Schubert Slices in the Context of Duality
  • Analysis of the Boundary of U
  • Invariant Kobayashi-Hyperbolic Stein Domains
  • Cycle Spaces of Lower-Dimensional Orbits
  • Examples
  • Analytic and Geometric Consequences
  • The Double Fibration Transform
  • Variation of Hodge Structure
  • Cycles in the K3 Period Domain
  • The Full Cycle Space
  • Combinatorics of Normal Bundles of Base Cycles
  • Methods for Computing H1(C; O)
  • Classification for Simple with rank < rank
  • Classification for rank = rank .

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