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Cycle Spaces of Flag Domains A Complex Geometric Viewpoint /
This monograph, divided into four parts, presents a comprehensive treatment 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 th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2006.
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| Edición: | 1st ed. 2006. |
| Colección: | Progress in Mathematics,
245 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4479-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220112172336.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817644796 |9 978-0-8176-4479-6 | ||
| 024 | 7 | |a 10.1007/0-8176-4479-2 |2 doi | |
| 050 | 4 | |a QA641-670 | |
| 072 | 7 | |a PBMP |2 bicssc | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a PBMP |2 thema | |
| 082 | 0 | 4 | |a 516.36 |2 23 |
| 100 | 1 | |a Fels, Gregor. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Cycle Spaces of Flag Domains |h [electronic resource] : |b A Complex Geometric Viewpoint / |c by Gregor Fels, Alan Huckleberry, Joseph A. Wolf. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2006. | |
| 300 | |a XX, 339 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Mathematics, |x 2296-505X ; |v 245 | |
| 505 | 0 | |a 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 . | |
| 520 | |a This monograph, divided into four parts, presents a comprehensive treatment 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. Key features: * Accessible to readers from a wide range of fields, with all the necessary background material provided for the nonspecialist * Many new results presented for the first time * 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 * Comparisons with classical Barlet cycle spaces are given * Good bibliography and index 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. | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 700 | 1 | |a Huckleberry, Alan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Wolf, Joseph A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817671006 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817643911 |
| 830 | 0 | |a Progress in Mathematics, |x 2296-505X ; |v 245 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/0-8176-4479-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||