Algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Springer
1993
|
| Ausgabe: | 6., corr. print. |
| Schriftenreihe: | Graduate texts in mathematics
52 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 496 S. graph. Darst. |
| ISBN: | 0387902449 3540902449 |
Internformat
MARC
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| 100 | 1 | |a Hartshorne, Robin |d 1938- |e Verfasser |0 (DE-588)133225089 |4 aut | |
| 245 | 1 | 0 | |a Algebraic geometry |c Robin Hartshorne |
| 250 | |a 6., corr. print. | ||
| 264 | 1 | |a New York u.a. |b Springer |c 1993 | |
| 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 | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1807865859746562048 |
|---|---|
| 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
122
9
FORMAL
SCHEMES
190
CHAPTER
III
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
11
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
:L
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
B
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
X
CONTENTS
APPENDIX
C
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
XI |
| any_adam_object | 1 |
| author | Hartshorne, Robin 1938- |
| author_GND | (DE-588)133225089 |
| author_facet | Hartshorne, Robin 1938- |
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| bvnumber | BV008317465 |
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| callnumber-raw | QA564 |
| callnumber-search | QA564 |
| callnumber-sort | QA 3564 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 240 |
| classification_tum | MAT 140f MAT 320f |
| ctrlnum | (OCoLC)30797461 (DE-599)BVBBV008317465 |
| dewey-full | 516.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3 |
| dewey-search | 516.3 |
| dewey-sort | 3516.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 6., corr. print. |
| format | Book |
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| genre_facet | Konferenzschrift 1974 Arcata Calif. Einführung Konferenzschrift |
| id | DE-604.BV008317465 |
| illustrated | Illustrated |
| indexdate | 2024-08-20T00:53:55Z |
| institution | BVB |
| isbn | 0387902449 3540902449 |
| language | English |
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| physical | XVI, 496 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
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| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Hartshorne, Robin 1938- Verfasser (DE-588)133225089 aut Algebraic geometry Robin Hartshorne 6., corr. print. New York u.a. Springer 1993 XVI, 496 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 52 Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf 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 Algebraische Geometrie (DE-588)4001161-6 s DE-604 Graduate texts in mathematics 52 (DE-604)BV000000067 52 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005495069&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hartshorne, Robin 1938- Algebraic geometry Graduate texts in mathematics Geometry, Algebraic 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 | Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Geometry, Algebraic 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=005495069&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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