Cycle Spaces of Flag Domains A Complex Geometric Viewpoint /

• Κύριοι συγγραφείς: Fels, Gregor (Συγγραφέας), Huckleberry, Alan (Συγγραφέας), Wolf, Joseph A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2006.
• Σειρά: Progress in Mathematics ; 245
• Θέματα: Mathematics.; Algebraic geometry.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of complex variables.; Differential geometry.; Quantum physics.; Differential Geometry.; Topological Groups, Lie Groups.; Several Complex Variables and Analytic Spaces.; Global Analysis and Analysis on Manifolds.; Algebraic Geometry.; Quantum Physics.

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...

Πίνακας περιεχομένων:

• 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 .