Lectures on vector bundles over Riemann surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, New Jersey
Princeton University Press and the University of Tokyo Press
1967
|
| Schriftenreihe: | Mathematical Notes
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | v, 243 Seiten |
Internformat
MARC
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| 100 | 1 | |a Gunning, Robert C. |d 1931- |0 (DE-588)119324326 |4 aut | |
| 245 | 1 | 0 | |a Lectures on vector bundles over Riemann surfaces |c by R. C. Gunning |
| 264 | 1 | |a Princeton, New Jersey |b Princeton University Press and the University of Tokyo Press |c 1967 | |
| 300 | |a v, 243 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical Notes |v 6 | |
| 650 | 4 | |a Faisceaux fibrés (Mathématiques) | |
| 650 | 4 | |a Riemann, Surfaces de | |
| 650 | 4 | |a Fiber bundles (Mathematics) | |
| 650 | 4 | |a Riemann surfaces | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001754920 | ||
Datensatz im Suchindex
| _version_ | 1804117097867902976 |
|---|---|
| adam_text | Contents
Page
§1. Analytic sheaves 1
a. sheaves of modules; b. free and locally
free sheaves; c. analytic sheaves;
d. coherent analytic sheaves.
§2. Local structure of coherent analytic sheaves ... 26
a. local structure; t . semi local structure;
c. global structure over the protective line.
§3. Induced mappings of analytic sheaves 45
a. inverse image sheaf; b. direct image
sheaf; c. some applications.
§4. Riemann Roch theorem 58
a. reducible vector bundles; b. Riemann Roch
theorem; c. Serre duality for vector bundles.
§5 A classification of vector bundles of rank tvo . . 71
a. classification of extensions; b. divisor
order; c. classification of unstable bundles;
d. remarks on stable bundles; e. surfaces
of low genus.
§6. Flat vector bundles 96
a. criterion for flatness; b. Weil s
theorem; c. connections and flat
representatives.
§7 Flat sheaves: geometric aspects 123
a. definitions; b. cohomology with flat
sheaf coefficients; c. deRham isomorphism
and duality; d. role of the universal
covering space; e. duality explicitly.
§8. Flat sheaves: analytic aspects 157
a. Prym differentials and their periods;
b. some special properties; c. meromorphic
Prym differentials.
Page
§9 Families of flat vector bundles 179
a. space of irreducible representations
of the fundamental group; b. space of
irreducible flat vector bundles;
c. space of equivalence classes of
connections; d. bundles of rank two in
detail; e. analytic equivalence classes.
Appendix 1 231
The formalism of cohomology with coefficients
in a locally free analytic sheaf.
Appendix 2 235
Some complications in describing classes of
flat vector bundles.
|
| any_adam_object | 1 |
| author | Gunning, Robert C. 1931- |
| author_GND | (DE-588)119324326 |
| author_facet | Gunning, Robert C. 1931- |
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| classification_rvk | SI 870 SK 350 SK 700 |
| ctrlnum | (OCoLC)236730 (DE-599)BVBBV002744691 |
| dewey-full | 517/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517/.8 |
| dewey-search | 517/.8 |
| dewey-sort | 3517 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:48:59Z |
| institution | BVB |
| language | English |
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| physical | v, 243 Seiten |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Princeton University Press and the University of Tokyo Press |
| record_format | marc |
| series | Mathematical Notes |
| series2 | Mathematical Notes |
| spelling | Gunning, Robert C. 1931- (DE-588)119324326 aut Lectures on vector bundles over Riemann surfaces by R. C. Gunning Princeton, New Jersey Princeton University Press and the University of Tokyo Press 1967 v, 243 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical Notes 6 Faisceaux fibrés (Mathématiques) Riemann, Surfaces de Fiber bundles (Mathematics) Riemann surfaces Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s Vektorraumbündel (DE-588)4187470-5 s DE-604 Differentialtopologie (DE-588)4012255-4 s Erscheint auch als Online-Ausgabe 978-0-691-21821-2 Mathematical Notes 6 (DE-604)BV000003793 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gunning, Robert C. 1931- Lectures on vector bundles over Riemann surfaces Mathematical Notes Faisceaux fibrés (Mathématiques) Riemann, Surfaces de Fiber bundles (Mathematics) Riemann surfaces Vektorraumbündel (DE-588)4187470-5 gnd Differentialtopologie (DE-588)4012255-4 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| subject_GND | (DE-588)4187470-5 (DE-588)4012255-4 (DE-588)4049991-1 |
| title | Lectures on vector bundles over Riemann surfaces |
| title_auth | Lectures on vector bundles over Riemann surfaces |
| title_exact_search | Lectures on vector bundles over Riemann surfaces |
| title_full | Lectures on vector bundles over Riemann surfaces by R. C. Gunning |
| title_fullStr | Lectures on vector bundles over Riemann surfaces by R. C. Gunning |
| title_full_unstemmed | Lectures on vector bundles over Riemann surfaces by R. C. Gunning |
| title_short | Lectures on vector bundles over Riemann surfaces |
| title_sort | lectures on vector bundles over riemann surfaces |
| topic | Faisceaux fibrés (Mathématiques) Riemann, Surfaces de Fiber bundles (Mathematics) Riemann surfaces Vektorraumbündel (DE-588)4187470-5 gnd Differentialtopologie (DE-588)4012255-4 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| topic_facet | Faisceaux fibrés (Mathématiques) Riemann, Surfaces de Fiber bundles (Mathematics) Riemann surfaces Vektorraumbündel Differentialtopologie Riemannsche Fläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003793 |
| work_keys_str_mv | AT gunningrobertc lecturesonvectorbundlesoverriemannsurfaces |