Cycle spaces of flag domains : a complex geometric viewpoint

Bibliographic Information

Cycle spaces of flag domains : a complex geometric viewpoint

Gregor Fels, Alan Huckleberry, Joseph A. Wolf

(Progress in mathematics, v. 245)

Birkhäuser, c2006

Available at  / 44 libraries

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Note

Includes bibliographical references (p. [323]-330) and indexes

Description and Table of Contents

Description

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

Table of Contents

  • * 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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