Cycle spaces of flag domains : a complex geometric viewpoint
著者
書誌事項
Cycle spaces of flag domains : a complex geometric viewpoint
（Progress in mathematics, v. 245）
Birkhäuser, c2006
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注記
Includes bibliographical references (p. [323]-330) and indexes
内容説明・目次
内容説明
Driven by numerous examples from the complex geometric viewpoint
New results presented for the first time
Widely accessible, with all necessary background material provided for the nonspecialist
Comparisons with classical Barlet cycle spaces are given
Good bibliography and index
目次
- * 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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