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- catalog abstract "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.".
- catalog contributor b8063104.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "xi, 230 p. ;".
- catalog hasFormat "Classification of three-dimensional homogeneous complex manifolds.".
- catalog identifier "0387590722 (New York : acid-free)".
- catalog identifier "3540590722 (Berlin : acid-free) :".
- catalog isFormatOf "Classification of three-dimensional homogeneous complex manifolds.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1602.".
- catalog isPartOf "Lecture notes in mathematics ; 1602".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Classification of three-dimensional homogeneous complex manifolds.".
- catalog subject "510 s 514/.223 20".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Homogeneous complex manifolds.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1602 QA613.2".
- catalog subject "Topological Groups.".
- catalog tableOfContents "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.".
- catalog title "The classification of three-dimensional homogeneous complex manifolds / Jörg Winkelmann.".
- catalog type "text".