Description
Springer Cycle Spaces Of Flag Domains A Complex Geometric Viewpoint by Gregor Fels , Alan Huckleberry , Joseph A. Wolf
Driven by numerous examples from the complex geometric viewpoint_x000D__x000D__x000D_New results presented for the first time_x000D__x000D__x000D_Widely accessible, with all necessary background material provided for the nonspecialist_x000D__x000D__x000D_Comparisons with classical Barlet cycle spaces are given_x000D__x000D__x000D_Good bibliography and index_x000D_ _x000D_* Dedication_x000D_
* Acknowledgments_x000D_
* Introduction_x000D_
Part I: Introduction to Flag Domain Theory_x000D_
Overview_x000D_
* Structure of Complex Flag Manifolds_x000D_
* Real Group Orbits_x000D_
* Orbit Structure for Hermitian Symmetric Spaces_x000D_
* Open Orbits_x000D_
* The Cycle Space of a Flag Domain_x000D_
Part II: Cycle Spaces as Universal Domains_x000D_
Overview_x000D_
* Universal Domains_x000D_
* B-Invariant Hypersurfaces in Mz_x000D_
* Orbit Duality via Momentum Geometry_x000D_
* Schubert Slices in the Context of Duality_x000D_
* Analysis of the Boundary of U_x000D_
* Invariant Kobayashi-Hyperbolic Stein Domains_x000D_
* Cycle Spaces of Lower-Dimensional Orbits_x000D_
* Examples_x000D_
Part III: Analytic and Geometric Concequences_x000D_
Overview_x000D_
* The Double Fibration Transform_x000D_
* Variation of Hodge Structure_x000D_
* Cycles in the K3 Period Domain_x000D_
Part IV: The Full Cycle Space_x000D_
Overview_x000D_
* Combinatorics of Normal Bundles of Base Cycles_x000D_
* Methods for Computing H1(C;O(E((q+0q)s)))_x000D_
* Classification for Simple g0 with rank t < rank g_x000D_
* Classification for rank t = rank g_x000D_
* References_x000D_
* Index_x000D_
* Symbol Index_x000D_