The Classification of Three-Dimensional Homogeneous Complex Manifolds [electronic resource] / by Jörg Winkelmann.

By:

Winkelmann, Jörg [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1602Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995Description: XII, 236 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540491859

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515 23

LOC classification:

QA299.6-433

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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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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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