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Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint

Gregor Fels, Alan Huckleberry, and Joseph A. Wolf
Publisher: 
Birkhäuser
Publication Date: 
2006
Number of Pages: 
339
Format: 
Hardcover
Series: 
Progress in Mathematics 245
Price: 
74.95
ISBN: 
0-8176-4391-5
Category: 
Monograph
We do not plan to review this book.

 

* Dedication

* Acknowledgments

* Introduction

Part I: Introduction to Flag Domain Theory

Overview

* Structure of Complex Flag Manifolds

* Real Group Orbits

* Orbit Structure for Hermitian Symmetric Spaces

* Open Orbits

* The Cycle Space of a Flag Domain

Part II: Cycle Spaces as Universal Domains

Overview

* 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

Part III: Analytic and Geometric Concequences

Overview

* The Double Fibration Transform

* Variation of Hodge Structure

* Cycles in the K3 Period Domain

Part IV: The Full Cycle Space

Overview

* Combinatorics of Normal Bundles of Base Cycles

* Methods for Computing H1(C;O(E((q+0q)s)))

* Classification for Simple g0 with rank t < rank g

* Classification for rank t = rank g

* References

* Index

* Symbol Index



 

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