Algebraic geometry
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2006
|
| Ausgabe: | [Nachdr.] |
| Schriftenreihe: | Graduate texts in mathematics
52 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Algebraic geometry |c Robin Hartshorne |
| 250 | |a [Nachdr.] | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2006 | |
| 300 | |a XVI, 496 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 52 | |
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Datensatz im Suchindex
| DE-19_call_number | 1601/Zi 453 Har A 1705/SK 240 H335=LS Extra Dimensions in Particle Physics and Cosmology |
|---|---|
| DE-19_location | 95 |
| DE-BY-TUM_call_number | 0102 MAT 140f 2001 A 16694(1,2006) 0202 MAT 140f 2008 A 6264(1,2006) |
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| DE-BY-TUM_location | 01 02 |
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| DE-BY-UBM_media_number | 99994962311 99995007226 |
| DE-BY-UBR_call_number | 80/SK 240 H335(.006) 8021/SK 240 H335(.006) |
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| DE-BY-UBR_location | 80 |
| DE-BY-UBR_media_number | 069035624666 TEMP12395003 |
| _version_ | 1823054371456286721 |
| adam_text | Contents
Introduction
xiii
CHAPTER I
Varieties
1
1
Affine
Varieties
1
2
Projective Varieties
8
3
Morphisms
14
4
Rational Maps
24
5
Nonsingular Varieties
31
6
Nonsingular Curves
39
7
Intersections in Projective Space
47
8
What Is Algebraic Geometry?
55
CHAPTER II
Schemes
60
1
Sheaves
60
2
Schemes
69
3
First Properties of Schemes
82
4
Separated and Proper Morphisms
95
5
Sheaves of Modules
108
6
Divisors
129
7
Projective Morphisms
149
8
Differentials
172
9
Formal Schemes
190
CHAPTER HI
Cohomology
201
1
Derived Functors
202
2
Cohomology of Sheaves
206
3
Cohomology of a Noetherian
Affine
Scheme
213
ix
Contents
4
Cech Cohomology
218
5 The Cohomology
of
Projective
Space
225
6
Ext
Groups and Sheaves
233
7
The
Serre
Duality Theorem
239
8
Higher Direct Images of Sheaves
250
9
Flat Morphisms
253
10
Smooth Morphisms
268
1
1
The Theorem on Formal Functions
276
12
The Semicontinuity Theorem
281
CHAPTER IV
Curves
293
1
Riemann-Roch Theorem
294
2
Hurwitz s Theorem
299
3
Embeddings in
Projective
Space
307
4
Elliptic Curves
316
5
The Canonical Embedding
340
6
Classification of Curves in P:!
349
CHAPTER V
Surfaces
356
1
Geometry on a Surface
357
2
Ruled Surfaces
369
3
Monoidal Transformations
386
4
The Cubic Surface in P:!
395
5 Birational
Transformations
409
6
Classification of Surfaces
421
APPENDIX A
Intersection Theory
424
1
Intersection Theory
425
2
Properties of the Chow Ring
428
3
Chern Classes
429
4
The Riemann-Roch Theorem
431
5
Complements and Generalizations
434
APPENDIX
В
Transcendental Methods
438
1
The Associated Complex Analytic Space
438
2
Comparison of the Algebraic and Analytic Categories
440
3
When is a Compact Complex Manifold Algebraic?
441
4 Kahler
Manifolds
445
5
The Exponential Sequence
446
Contents
APPENDIX
С
The Weil
Conjectures
449
1 The
Zeta
Function and the Weil Conjectures
449
2
History of Work on the Weil Conjectures
451
3
The
/-adic Cohomology
453
4
Cohomological Interpretation of the Weil Conjectures
454
Bibliography
459
Results from Algebra
470
Glossary of Notations
472
Index
478
Xl
|
| any_adam_object | 1 |
| author | Hartshorne, Robin 1938- |
| author_GND | (DE-588)133225089 |
| author_facet | Hartshorne, Robin 1938- |
| author_role | aut |
| author_sort | Hartshorne, Robin 1938- |
| author_variant | r h rh |
| building | Verbundindex |
| bvnumber | BV023484298 |
| classification_rvk | SK 240 |
| classification_tum | MAT 140f |
| ctrlnum | (OCoLC)634687568 (DE-599)BVBBV023484298 |
| discipline | Mathematik |
| edition | [Nachdr.] |
| format | Book |
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| genre | 1\p (DE-588)1071861417 Konferenzschrift 1974 Arcata Calif. gnd-content 2\p (DE-588)4151278-9 Einführung gnd-content 3\p (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift 1974 Arcata Calif. Einführung Konferenzschrift |
| id | DE-604.BV023484298 |
| illustrated | Illustrated |
| indexdate | 2025-02-03T17:28:01Z |
| institution | BVB |
| isbn | 3540902449 9780387902449 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016666373 |
| oclc_num | 634687568 |
| open_access_boolean | |
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| physical | XVI, 496 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spellingShingle | Hartshorne, Robin 1938- Algebraic geometry Graduate texts in mathematics Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)1071861417 (DE-588)4151278-9 |
| title | Algebraic geometry |
| title_auth | Algebraic geometry |
| title_exact_search | Algebraic geometry |
| title_full | Algebraic geometry Robin Hartshorne |
| title_fullStr | Algebraic geometry Robin Hartshorne |
| title_full_unstemmed | Algebraic geometry Robin Hartshorne |
| title_short | Algebraic geometry |
| title_sort | algebraic geometry |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraische Geometrie Konferenzschrift 1974 Arcata Calif. Einführung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016666373&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT hartshornerobin algebraicgeometry |