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Winkelmann, Jörg.

The Classification of Three-Dimensional Homogeneous Complex Manifolds [electronic resource] / by Jörg Winkelmann. - XII, 236 p. online resource. - Lecture Notes in Mathematics, 1602 0075-8434 ; . - Lecture Notes in Mathematics, 1602 .

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.

ISBN: 9783540491859

Standard No.: 10.1007/BFb0095837 doi

Subjects--Topical Terms:
Global analysis (Mathematics).
Topological Groups.
Analysis.
Topological Groups, Lie Groups.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515