Algebraic cycles and topology of real algebraic varieties:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
CWI
2000
|
| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract
129 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 134 S. |
| ISBN: | 9061964938 |
Internformat
MARC
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| 100 | 1 | |a Hamel, Joost Adriaan van |d 1880-1964 |e Verfasser |0 (DE-588)127460691 |4 aut | |
| 245 | 1 | 0 | |a Algebraic cycles and topology of real algebraic varieties |c J. A. van Hamel |
| 264 | 1 | |a Amsterdam |b CWI |c 2000 | |
| 300 | |a II, 134 S. | ||
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |v 129 | |
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| 650 | 7 | |a Topologie |2 gtt | |
| 650 | 4 | |a Algebraic cycles | |
| 650 | 4 | |a Algebraic varieties | |
| 650 | 4 | |a Homotopy equivalences | |
| 650 | 4 | |a Topological algebras | |
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Datensatz im Suchindex
| _version_ | 1804128507898363904 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter I. Real algebraic cycles 7
1. Definitions 7
2. The Galois action 11
3. Divisors and line bundles 14
4. The Picard variety 16
5. Cycle maps 18
Chapter II. Equivariant sheaves and Verdier duality 21
1. G sheaves 21
2. Equivariant functors 22
3. Derived functors 29
4. Derived functors for G sheaves 36
5. Verdier duality 41
Chapter III. Equivariant homology and cohomology 45
1. Definitions 45
2. Functoriality and long exact sequences 47
3. Cup product and cap product 49
4. Equivariant Poincare duality 52
5. The Hochschild Serre spectral sequences 55
6. Localization 57
7. Transformation groups of prime order 62
8. Topological spaces with an involution 68
9. Examples 76
Chapter IV The equivariant cycle map 83
1. Definition and basic properties 83
2. The equivariant cycle map into cohomology 85
i
ii CONTENTS
3. Topological restrictions on the image of the real cycle map 86
4. The cycle map in codimension 1 91
5. Divisors over C and divisors over R 94
Chapter V Algebraic cycles and topology of real Enriques surfaces 101
1. Algebraic cycles 101
2. Galois Maximality 104
Chapter VI. Real algebraic cycles on complex projective varieties 109
1. The Weil restriction 110
2. Computational methods 114
3. Concrete results 118
Bibliography 125
Notations 129
Index 133
|
| any_adam_object | 1 |
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| id | DE-604.BV013692848 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:50:21Z |
| institution | BVB |
| isbn | 9061964938 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009357382 |
| oclc_num | 46669567 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | II, 134 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | CWI |
| record_format | marc |
| series | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |
| spelling | Hamel, Joost Adriaan van 1880-1964 Verfasser (DE-588)127460691 aut Algebraic cycles and topology of real algebraic varieties J. A. van Hamel Amsterdam CWI 2000 II, 134 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 129 Cykels gtt Topologie gtt Algebraic cycles Algebraic varieties Homotopy equivalences Topological algebras Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 s Topologie (DE-588)4060425-1 s DE-604 Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 129 (DE-604)BV001902011 129 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009357382&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hamel, Joost Adriaan van 1880-1964 Algebraic cycles and topology of real algebraic varieties Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract Cykels gtt Topologie gtt Algebraic cycles Algebraic varieties Homotopy equivalences Topological algebras Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4128509-8 (DE-588)4060425-1 |
| title | Algebraic cycles and topology of real algebraic varieties |
| title_auth | Algebraic cycles and topology of real algebraic varieties |
| title_exact_search | Algebraic cycles and topology of real algebraic varieties |
| title_full | Algebraic cycles and topology of real algebraic varieties J. A. van Hamel |
| title_fullStr | Algebraic cycles and topology of real algebraic varieties J. A. van Hamel |
| title_full_unstemmed | Algebraic cycles and topology of real algebraic varieties J. A. van Hamel |
| title_short | Algebraic cycles and topology of real algebraic varieties |
| title_sort | algebraic cycles and topology of real algebraic varieties |
| topic | Cykels gtt Topologie gtt Algebraic cycles Algebraic varieties Homotopy equivalences Topological algebras Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Cykels Topologie Algebraic cycles Algebraic varieties Homotopy equivalences Topological algebras Algebraische Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009357382&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001902011 |
| work_keys_str_mv | AT hameljoostadriaanvan algebraiccyclesandtopologyofrealalgebraicvarieties |