The Classification of Three-Dimensional Homogeneous Complex Manifolds [electronic resource] / by Jörg Winkelmann.
Material type: TextSeries: Lecture Notes in Mathematics ; 1602Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1995Description: XII, 236 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540491859Subject(s): Mathematics | Topological Groups | Global analysis (Mathematics) | Mathematics | Analysis | Topological Groups, Lie GroupsAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1740 |
Survey -- The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a complex lie group -- The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a real lie group.
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.
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