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
Summary
Divided into four parts, this monograph 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, it presents a structure theory for these cycle spaces, as well as their applications to harmonic analysis and algebraic geometry
Bibliography
Includes bibliographical references (pages 323-330)-and indexes
