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Cycle Spaces of Flag Domains

A Complex Geometric Viewpoint, Progress in Mathematics 245

Erschienen am 22.12.2005, Auflage: 1/2006
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Bibliografische Daten
ISBN/EAN: 9780817643911
Sprache: Englisch
Umfang: xx, 339 S.
Einband: gebundenes Buch

Beschreibung

Inhaltsangabe* 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 * BInvariant 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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