Holomorphic vector bundles over compact complex surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Series: | Lecture notes in mathematics
1624 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 170 S. |
| ISBN: | 3540610189 |
Staff View
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Record in the Search Index
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| adam_text | Table of Contents
1 Vector bundles over complex manifolds 1
1.1 Vector bundles 1
1.2 Chern classes 7
1.3 GAGA Theorems 14
1.4 Torsion free and reflexive coherent sheaves 16
1.5 Problems on vector bundles 23
2 Facts on compact complex surfaces 29
2.1 Line bundles and divisors 29
2.2 Algebraic dimension and Kodaira dimension 34
2.3 Classification and examples of surfaces 39
2.4 Intersection form and Neron Severi group 49
3 Line bundles over surfaces 53
3.1 Holomorphic structures in line bundles 53
3.2 Picard group for tori 57
3.3 Neron Severi group for some elliptic surfaces 61
3.4 Picard group for primary Kodaira surfaces 70
4 Existence of holomorphic vector bundles 85
4.1 Serre construction 85
4.2 Filtrable vector bundles 91
4.3 Non filtrable and irreducible vector bundles 104
4.4 Simple filtrable vector bundles 110
5 Classification of vector bundles 119
5.1 Deformations of vector bundles and applications 119
5.2 Moduli spaces of simple vector bundles 128
5.3 Stable vector bundles 133
5.4 Moduli spaces of stable vector bundles 143
5.5 Vector bundles over ruled surfaces 148
References 157
Index 167
|
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| isbn | 3540610189 |
| language | English |
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| physical | VIII, 170 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics Lecture notes in mathematics / Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |
| spelling | Brînzănescu, Vasile Verfasser aut Holomorphic vector bundles over compact complex surfaces Vasile Brînzănescu Berlin [u.a.] Springer 1996 VIII, 170 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1624 Lecture notes in mathematics / Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn 22 Holomorphes Vektorraumbündel - Kompakte Oberfläche Complex manifolds Surfaces, Algebraic Vector bundles Komplexfläche (DE-588)4123546-0 gnd rswk-swf Kompakte Fläche (DE-588)4412571-9 gnd rswk-swf Holomorphe Mannigfaltigkeit (DE-588)4135584-2 gnd rswk-swf Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd rswk-swf Holomorphes Vektorraumbündel (DE-588)4160483-0 s Holomorphe Mannigfaltigkeit (DE-588)4135584-2 s Kompakte Fläche (DE-588)4412571-9 s DE-604 Komplexfläche (DE-588)4123546-0 s Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn Lecture notes in mathematics 22 (DE-604)BV005628488 22 Lecture notes in mathematics 1624 (DE-604)BV000676446 1624 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007119475&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brînzănescu, Vasile Holomorphic vector bundles over compact complex surfaces Lecture notes in mathematics Holomorphes Vektorraumbündel - Kompakte Oberfläche Complex manifolds Surfaces, Algebraic Vector bundles Komplexfläche (DE-588)4123546-0 gnd Kompakte Fläche (DE-588)4412571-9 gnd Holomorphe Mannigfaltigkeit (DE-588)4135584-2 gnd Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd |
| subject_GND | (DE-588)4123546-0 (DE-588)4412571-9 (DE-588)4135584-2 (DE-588)4160483-0 |
| title | Holomorphic vector bundles over compact complex surfaces |
| title_auth | Holomorphic vector bundles over compact complex surfaces |
| title_exact_search | Holomorphic vector bundles over compact complex surfaces |
| title_full | Holomorphic vector bundles over compact complex surfaces Vasile Brînzănescu |
| title_fullStr | Holomorphic vector bundles over compact complex surfaces Vasile Brînzănescu |
| title_full_unstemmed | Holomorphic vector bundles over compact complex surfaces Vasile Brînzănescu |
| title_short | Holomorphic vector bundles over compact complex surfaces |
| title_sort | holomorphic vector bundles over compact complex surfaces |
| topic | Holomorphes Vektorraumbündel - Kompakte Oberfläche Complex manifolds Surfaces, Algebraic Vector bundles Komplexfläche (DE-588)4123546-0 gnd Kompakte Fläche (DE-588)4412571-9 gnd Holomorphe Mannigfaltigkeit (DE-588)4135584-2 gnd Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd |
| topic_facet | Holomorphes Vektorraumbündel - Kompakte Oberfläche Complex manifolds Surfaces, Algebraic Vector bundles Komplexfläche Kompakte Fläche Holomorphe Mannigfaltigkeit Holomorphes Vektorraumbündel |
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