Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint

Abstract

This is a survey of history, methods and developments in the theory of cycle spaces of flag domains, and new results on double fibration transforms and their applications.

38 pages

References in corpus (2)

• Stein extensions of Riemann symmetric spaces and some generalization
• Schubert varieties and cycle spaces

Cited by in corpus (16)

• Boundary Components of Mumford-Tate Domains
• A new look at adapted complex structures
• Geometry of the Borel -- de Siebenthal Discrete Series
• On univalence of equivariant Riemann domains over the complexification of a non-compact, Riemannian symmetric space
• Cycle connectivity and pseudoconcavity of flag domains
• Branching of Representations to Symmetric Subgroups
• Cycle Space Constructions for Exhaustions of Flag Domains
• On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors
• A family of adapted complexifications for noncompact semisimple Lie groups
• Toward a Classification of Killing Vector Fields of Constant Length on Pseudo--Riemannian Normal Homogeneous Spaces
• Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls
• Classical Symmetries of Complex Manifolds
• Quotients of the crown domain by a proper action of a cyclic group
• On the Cycle Spaces Associated to Orbits of Semi-simple Lie Groups
• Complex structures, moment maps, and the Ricci form (Extended Version)
• Classification of Kaehler homogeneous manifolds of non-compact dimension two