Volume 245 2006

Cycle Spaces of Flag Domains

A Complex Geometric Viewpoint

Authors:

ISBN: 978-0-8176-4391-1 (Print) 978-0-8176-4479-6 (Online)

Table of contents (20 chapters)

  1. Introduction to Flag Domain Theory

    1. Front Matter

      Pages 1-4

    2. No Access

      Book Chapter

      Pages 5-26

      Structure of Complex Flag Manifolds

    3. No Access

      Book Chapter

      Pages 27-30

      Real Group Orbits

    4. No Access

      Book Chapter

      Pages 31-36

      Orbit Structure for Hermitian Symmetric Spaces

    5. No Access

      Book Chapter

      Pages 37-53

      Open Orbits

    6. No Access

      Book Chapter

      Pages 55-71

      The Cycle Space of a Flag Domain

  2. Cycle Spaces as Universal Domains

    1. Front Matter

      Pages 73-76

    2. No Access

      Book Chapter

      Pages 77-91

      Universal Domains

    3. No Access

      Book Chapter

      Pages 93-111

      B-Invariant Hypersurfaces in M Z

    4. No Access

      Book Chapter

      Pages 113-124

      Orbit Duality via Momentum Geometry

    5. No Access

      Book Chapter

      Pages 125-132

      Schubert Slices in the Context of Duality

    6. No Access

      Book Chapter

      Pages 133-161

      Analysis of the Boundary of U

    7. No Access

      Book Chapter

      Pages 163-173

      Invariant Kobayashi-Hyperbolic Stein Domains

    8. No Access

      Book Chapter

      Pages 175-184

      Cycle Spaces of Lower-Dimensional Orbits

    9. No Access

      Book Chapter

      Pages 185-201

      Examples

  3. Analytic and Geometric Consequences

    1. Front Matter

      Pages 203-206

    2. No Access

      Book Chapter

      Pages 207-215

      The Double Fibration Transform

    3. No Access

      Book Chapter

      Pages 217-223

      Variation of Hodge Structure

    4. No Access

      Book Chapter

      Pages 225-237

      Cycles in the K3 Period Domain

  4. The Full Cycle Space

    1. Front Matter

      Pages 239-242

    2. No Access

      Book Chapter

      Pages 243-258

      Combinatorics of Normal Bundles of Base Cycles

    3. No Access

      Book Chapter

      Pages 259-287

      Methods for Computing H 1(C; O)

    4. No Access

      Book Chapter

      Pages 289-307

      Classification for Simple \( \mathfrak{g}_{\text{0}} \) with rank \( \mathfrak{k} \) < rank \( \mathfrak{g} \)

    5. No Access

      Book Chapter

      Pages 309-322

      Classification for rank \( \mathfrak{k} \) = rank \( \mathfrak{g} \)