The classification of three-dimensional homogeneous complex manifolds /

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Bibliographic Details
Author / Creator:	Winkelmann, Jörg, 1963-
Imprint:	Berlin ; New York : Springer, ©1995.
Description:	1 online resource (xi, 230 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1602 Lecture notes in mathematics (Springer-Verlag) ; 1602.
Subject:	Homogeneous complex manifolds. Homogeneous complex manifolds.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11069975

Hidden Bibliographic Details
ISBN:	9783540491859 3540491856 3540590722 9783540590729 0387590722 9780387590721
Notes:	Includes bibliographical references (pages 225-228) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	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.
Other form:	Print version: Winkelmann, Jörg, 1963- Classification of three-dimensional homogeneous complex manifolds. Berlin ; New York : Springer, ©1995 3540590722

Table of Contents:

pt. I. Survey. Survey
pt. II. The classification where G is a complex Lie group. Preparations. The case G complex solvable. The case G semisimple, complex. The mixed case: Line bundles and dim[subscript C](S)> 3. The mixed case with [actual symbol not reproducible] and R abelian. The mixed case with [actual symbol not reproducible] and R non-abelian
pt. III. The classification where G is a real Lie group. Preparations. Holomorphic fibre bundles. G solvable. Classification for G solvable and dim[subscript R](G) = 6. The case G solvable and dim[subscript R](G)> 6. The non-solvable case with R transitive. The case dim[subscript C](G/RH) = 1. Holomorphic fibrations in the case dim[subscript R](S)> 3. S-orbits in homogeneous-rational manifolds.

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