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The Classification of Three-dimensional Homogeneous Complex Manifolds : Studies in Economic Ethics and Philosophy - Jochen Winkelmann

The Classification of Three-dimensional Homogeneous Complex Manifolds

Studies in Economic Ethics and Philosophy

Paperback Published: 6th April 1995
ISBN: 9783540590729
Number Of Pages: 236

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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 classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.

Survey
Surveyp. 2
The classification where G is a complex Lie group
Preparationsp. 22
The case G complex solvablep. 28
The case G semisimple, complexp. 38
The mixed case: Line bundles and dim[subscript C](S) ] 3p. 51
The mixed case with [actual symbol not reproducible] and R abelianp. 58
The mixed case with [actual symbol not reproducible] and R non-abelianp. 70
The classification where G is a real Lie group
Preparationsp. 87
Holomorphic fibre bundlesp. 97
G solvablep. 104
Classification for G solvable and dim[subscript R](G) = 6p. 112
The case G solvable and dim[subscript R](G) ] 6p. 131
The non-solvable case with R transitivep. 148
The case dim[subscript C](G/RH) = 1p. 162
Holomorphic fibrations in the case dim[subscript R](S) ] 3p. 190
S-orbits in homogeneous-rational manifoldsp. 207
Referencesp. 225
Subject Indexp. 229
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540590729
ISBN-10: 3540590722
Series: Studies in Economic Ethics and Philosophy
Audience: General
Format: Paperback
Language: English
Number Of Pages: 236
Published: 6th April 1995
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.32
Weight (kg): 0.35