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...
| Main Authors: | , , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA :
Birkhäuser Boston,
2006.
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| Series: | Progress in Mathematics ;
245 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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 .
