The classification of three-dimensional homogeneous complex manifolds /
This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The cl...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1995]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1602. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- pt. I. Survey. Survey
- pt. II. The classification where G is a complex Lie group. Preparations. The case G complex solvable. The case G semisimple, complex. The mixed case: Line bundles and dim[subscript C](S)> 3. The mixed case with [actual symbol not reproducible] and R abelian. The mixed case with [actual symbol not reproducible] and R non-abelian
- pt. III. The classification where G is a real Lie group. Preparations. Holomorphic fibre bundles. G solvable. Classification for G solvable and dim[subscript R](G) = 6. The case G solvable and dim[subscript R](G)> 6. The non-solvable case with R transitive. The case dim[subscript C](G/RH) = 1. Holomorphic fibrations in the case dim[subscript R](S)> 3. S-orbits in homogeneous-rational manifolds.