The classification of three-dimensional homogeneous complex manifolds /
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| 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: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11069975 |
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| 100 | 1 | |a Winkelmann, Jörg, |d 1963- |0 http://id.loc.gov/authorities/names/n95008996 |1 http://viaf.org/viaf/79151508 | |
| 245 | 1 | 4 | |a The classification of three-dimensional homogeneous complex manifolds / |c Jörg Winkelmann. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©1995. | ||
| 300 | |a 1 online resource (xi, 230 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1602 | |
| 504 | |a Includes bibliographical references (pages 225-228) and index. | ||
| 520 | |a 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. | ||
| 505 | 0 | |a 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. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a 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. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Homogeneous complex manifolds. |0 http://id.loc.gov/authorities/subjects/sh95000637 | |
| 650 | 6 | |a Variétés complexes homogènes. | |
| 650 | 7 | |a Homogeneous complex manifolds. |2 fast |0 (OCoLC)fst00959712 | |
| 650 | 1 | 7 | |a Complexe ruimten. |2 gtt |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Winkelmann, Jörg, 1963- |t Classification of three-dimensional homogeneous complex manifolds. |d Berlin ; New York : Springer, ©1995 |z 3540590722 |w (DLC) 95004081 |w (OCoLC)32012381 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1602. | |
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