Complex geometry: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2005
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Auch als Internetausgabe |
| Physical Description: | XII, 309 S. graph. Darst. |
| ISBN: | 3540212906 9783540212904 |
Staff View
MARC
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| 100 | 1 | |a Huybrechts, Daniel |d 1966- |e Verfasser |0 (DE-588)113483716 |4 aut | |
| 245 | 1 | 0 | |a Complex geometry |b an introduction |c Daniel Huybrechts |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
| 300 | |a XII, 309 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 500 | |a Auch als Internetausgabe | ||
| 650 | 4 | |a Komplexe Geometrie | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 0 | 7 | |a Komplexe Geometrie |0 (DE-588)4164898-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804132856620908544 |
|---|---|
| adam_text | Contents
Local Theory
.............................................. 1
1.1
Holomorphic Functions of Several Variables
................. 1
1.2
Complex and Hermitian Structures
........................ 25
1.3
Differential Forms
....................................... 42
Complex Manifolds
........................................ 51
2.1
Complex Manifolds: Definition and Examples
............... 52
2.2
Holomorphic Vector Bundles
.............................. 66
2.3
Divisors and Line Bundles
................................ 77
2.4
The
Projective
Space
.................................... 91
2.5
Blow-ups
............................................... 98
2.6
Differentia] Calculus on Complex Manifolds
................. 104
Kahler
Manifolds
..........................................113
3.1 Kahler
Identities
........................................114
3.2
Hodge Theory on
Kahler
Manifolds
........................125
3.3
Lefschetz Theorems
......................................132
Appendix
...................................................145
3.A Formality of Compact
Kahler
Manifolds
....................145
3.B SUSY for
Kahler
Manifolds
...............................155
3.C Hodge Structures
........................................160
Vector Bundles
............................................165
4.1
Hermitian Vector Bundles and
Serre
Duality
................166
4.2
Connections
............................................173
4.3
Curvature
..............................................182
4.4
Chern Classes
...........................................193
Appendix
...................................................206
4-А
Levi-Civita Connection and Holonomy on Complex Manifolds
. 206
4.B Hermite-Einstein and Kahler-Einstein Metrics
..............217
XII Contents
5
Applications of Cohomology
...............................231
5.1 Hirzebruch-Riemann-Roch Theorem.......................231
5.2 Kodaira
Vanishing
Theorem and Applications...............239
5.3 Kodaira
Embedding
Theorem.............................247
6
Deformations of Complex Structures
......................255
6.1
The Maurer-Cartan Equation
.............................255
6.2
General Results
.........................................268
Appendix
...................................................275
6.A dGBV-Algebras
.........................................275
A Hodge Theory on Differentiable Manifolds
.................281
В
Sheaf Cohomology
.........................................287
References
.....................................................297
Index
............................................................303
|
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| dewey-ones | 516 - Geometry |
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| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T19:59:28Z |
| institution | BVB |
| isbn | 3540212906 9783540212904 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012864438 |
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| physical | XII, 309 S. graph. Darst. |
| publishDate | 2005 |
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| series2 | Universitext |
| spelling | Huybrechts, Daniel 1966- Verfasser (DE-588)113483716 aut Complex geometry an introduction Daniel Huybrechts Berlin [u.a.] Springer 2005 XII, 309 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Auch als Internetausgabe Komplexe Geometrie Geometry, Algebraic Geometry, Differential Manifolds (Mathematics) Komplexe Geometrie (DE-588)4164898-5 gnd rswk-swf Komplexe Geometrie (DE-588)4164898-5 s DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012864438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Huybrechts, Daniel 1966- Complex geometry an introduction Komplexe Geometrie Geometry, Algebraic Geometry, Differential Manifolds (Mathematics) Komplexe Geometrie (DE-588)4164898-5 gnd |
| subject_GND | (DE-588)4164898-5 |
| title | Complex geometry an introduction |
| title_auth | Complex geometry an introduction |
| title_exact_search | Complex geometry an introduction |
| title_full | Complex geometry an introduction Daniel Huybrechts |
| title_fullStr | Complex geometry an introduction Daniel Huybrechts |
| title_full_unstemmed | Complex geometry an introduction Daniel Huybrechts |
| title_short | Complex geometry |
| title_sort | complex geometry an introduction |
| title_sub | an introduction |
| topic | Komplexe Geometrie Geometry, Algebraic Geometry, Differential Manifolds (Mathematics) Komplexe Geometrie (DE-588)4164898-5 gnd |
| topic_facet | Komplexe Geometrie Geometry, Algebraic Geometry, Differential Manifolds (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012864438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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