Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2001
|
| Schriftenreihe: | Lecture notes in mathematics
1759 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 133 S. |
| ISBN: | 3540419896 |
Internformat
MARC
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| 100 | 1 | |a Abe, Yukitaka |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Toroidal groups |b line bundles, cohomology and quasi-Abelian varieties |c Yukitaka Abe ; Klaus Kopfermann |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2001 | |
| 300 | |a VIII, 133 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1759 | |
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| 700 | 1 | |a Kopfermann, Klaus |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804128510356226048 |
|---|---|
| adam_text | Contents
Introduction 1
1. The Concept of Toroidal Groups 3
1.1 Irrationality and toroidal coordinates 3
Toroidal groups 3
Complex homomorphisms 7
Toroidal coordinates and C ~* fibre bundles 9
Maximal Stein subgroups of toroidal groups 14
1.2 Toroidal subgroups and pseudoconvexity 16
The maximal toroidal subgroup of a complex Lie group 16
Pseudoconvexity 19
The maximal complex subtorus of a complex Lie group 22
2. Line Bundles and Cohomology 25
2.1 Line bundles on toroidal groups 25
Automorphic factors 25
The characteristic decomposition of an exponential system 28
Automorphic summands 32
Theta bundles and topologically trivial line bundles 37
2.2 Cohomology of toroidal groups 44
Toroidal theta and wild groups 44
Dolbeault cohomology of toroidal theta groups 47
Dolbeault cohomology of complex Lie groups 54
3. Quasi Abelian Varieties 57
3.1 Ample Riemann forms 57
The Hermitian decomposition of an automorphic factor 57
Period relations 61
Ample Riemann forms 64
Maximal Stein subgroups of quasi Abelian varieties 68
3.2 Characterization of quasi Abelian varieties 73
Cohomology and the average of differential forms 73
VIII Contents
Chern forms of fibre metrics 80
Holomorphic mappings to projective spaces 85
Meromorphic functions on toroidal groups 88
4. Reduction and Extension 93
4.1 Automorphic forms 93
Reduction to the positive definite case 93
Further properties of meromorphic functions 101
Existence of automorphic forms and Lefschetz type theorems.... 103
4.2 Extendable line bundles 106
The case of C* ~« fibre bundles 106
The case of kind £ 113
Explicit representation of automorphic forms 120
References 125
Index 131
|
| any_adam_object | 1 |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV013694726 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:50:23Z |
| institution | BVB |
| isbn | 3540419896 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009358952 |
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| physical | VIII, 133 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Abe, Yukitaka Verfasser aut Toroidal groups line bundles, cohomology and quasi-Abelian varieties Yukitaka Abe ; Klaus Kopfermann Berlin [u.a.] Springer 2001 VIII, 133 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1759 Toroid <Gruppentheorie> Toroid Gruppentheorie (DE-588)4642415-5 gnd rswk-swf Toroid Gruppentheorie (DE-588)4642415-5 s DE-604 Kopfermann, Klaus Verfasser aut Lecture notes in mathematics 1759 (DE-604)BV000676446 1759 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358952&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abe, Yukitaka Kopfermann, Klaus Toroidal groups line bundles, cohomology and quasi-Abelian varieties Lecture notes in mathematics Toroid <Gruppentheorie> Toroid Gruppentheorie (DE-588)4642415-5 gnd |
| subject_GND | (DE-588)4642415-5 |
| title | Toroidal groups line bundles, cohomology and quasi-Abelian varieties |
| title_auth | Toroidal groups line bundles, cohomology and quasi-Abelian varieties |
| title_exact_search | Toroidal groups line bundles, cohomology and quasi-Abelian varieties |
| title_full | Toroidal groups line bundles, cohomology and quasi-Abelian varieties Yukitaka Abe ; Klaus Kopfermann |
| title_fullStr | Toroidal groups line bundles, cohomology and quasi-Abelian varieties Yukitaka Abe ; Klaus Kopfermann |
| title_full_unstemmed | Toroidal groups line bundles, cohomology and quasi-Abelian varieties Yukitaka Abe ; Klaus Kopfermann |
| title_short | Toroidal groups |
| title_sort | toroidal groups line bundles cohomology and quasi abelian varieties |
| title_sub | line bundles, cohomology and quasi-Abelian varieties |
| topic | Toroid <Gruppentheorie> Toroid Gruppentheorie (DE-588)4642415-5 gnd |
| topic_facet | Toroid <Gruppentheorie> Toroid Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358952&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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