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.
General
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