Gregor Fels,
Alan Huckleberry,
Joseph A. Wolf
Birkhäuser Boston
2006e druk, 2005
9780817643911
Cycle Spaces of Flag Domains
A Complex Geometric Viewpoint
Specificaties
Gebonden, 339 blz.
|
Engels
Birkhäuser Boston |
2006e druk, 2005
ISBN13: 9780817643911
Rubricering
Onderdeel van serie
Progress in Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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
Specificaties
ISBN13:9780817643911
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:339
Uitgever:Birkhäuser Boston
Druk:2006
Serie:Progress in Mathematics
Inhoudsopgave
* 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
* 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