Buch, Englisch, Band 245, 339 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 705 g
Reihe: Progress in Mathematics
A Complex Geometric Viewpoint
Buch, Englisch, Band 245, 339 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 705 g
Reihe: Progress in Mathematics
ISBN: 978-0-8176-4391-1
Verlag: Birkhäuser Boston
Presents a state-of-the art and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, as well as their applications to harmonic analysis and algebraic geometry. Driven by numerous examples, the exposition is presented from the complex geometric viewpoint, but the methods, applications and much of the motivation also come from real and complex algebraic groups and their representations, as well as other areas of geometry. All the necessary background material is provided for the nonspecialist, including a good bibliography and index, thus making the book accessible to readers from a wide range of fields. Researchers and graduate students in differential geometry, complex analysis, harmonic analysis, representation theory, transformation groups, algebraic geometry, and areas of global geometric analysis will benefit from this work.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Naturwissenschaften Physik Quantenphysik
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
Weitere Infos & Material
to Flag Domain Theory.- Structure of Complex Flag Manifolds.- Real Group Orbits.- Orbit Structure for Hermitian Symmetric Spaces.- Open Orbits.- The Cycle Space of a Flag Domain.- Cycle Spaces as Universal Domains.- 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.- Analytic and Geometric Consequences.- The Double Fibration Transform.- Variation of Hodge Structure.- Cycles in the K3 Period Domain.- The Full Cycle Space.- Combinatorics of Normal Bundles of Base Cycles.- Methods for Computing H1(C; O).- Classification for Simple with rank < rank.- Classification for rank = rank.
