The classification of three-dimensional homogeneous complex manifolds

書誌事項

The classification of three-dimensional homogeneous complex manifolds

Jörg Winkelmann

(Lecture notes in mathematics, 1602)

Springer-Verlag, c1995

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注記

Bibliography: p. [225]-228

Includes subject index

内容説明・目次

内容説明

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.

目次

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.

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