On the tangent space to the space of algebraic cycles on a smooth algebraic variety:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ [u.a.]
Princeton Univ. Press
2005
|
| Series: | Annals of mathematics studies
157 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 200 S. graph. Darst. |
| ISBN: | 0691120439 0691120447 |
Staff View
MARC
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| 100 | 1 | |a Green, Mark |d 1947- |e Verfasser |0 (DE-588)129505234 |4 aut | |
| 245 | 1 | 0 | |a On the tangent space to the space of algebraic cycles on a smooth algebraic variety |c Mark Green and Phillip Griffiths |
| 264 | 1 | |a Princeton, NJ [u.a.] |b Princeton Univ. Press |c 2005 | |
| 300 | |a VI, 200 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies |v 157 | |
| 650 | 4 | |a Algebraic cycles | |
| 650 | 4 | |a Algebraische Geometrie | |
| 650 | 4 | |a Algebraische Varietät | |
| 650 | 4 | |a Algebraischer Zyklus | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Hodge theory | |
| 650 | 4 | |a Tangentialraum | |
| 650 | 4 | |a Differenzierbare Mannigfaltigkeit - Algebraischer Zyklus - Algebraische Varietät - Tangentialraum | |
| 650 | 4 | |a Algebraic cycles | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Hodge theory | |
| 650 | 0 | 7 | |a Algebraische Zykel |0 (DE-588)4141856-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Tangentialraum |0 (DE-588)4792364-7 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction 3
1.1 General comments 3
Chapter 2. The Classical Case When n — 22
Chapter 3. Differential Geometry of Symmetric Products 31
Chapter 4. Absolute Differentials (I) 42
4.1 Generalities 42
4.2 Spreads 48
Chapter 5. Geometric Description of 1Z {X) 54
5.1 The description 54
5.2 Intrinsic formulation 57
Chapter 6. Absolute Differentials (II) 61
6.1 Absolute differentials arise from purely geometric considerations 61
6.2 A nonclassical case when n = 1 67
6.3 The differential of the tame symbol 70
Chapter 7. The f definition of TZ2(X) for X an Algebraic Surface 84
7.1 The definition of X Z2 (X) 84
7.2 The map T Hilb2(X) ? TZ2(X) 87
7.3 Relation of the Puiseaux and algebraic approaches 92
7.4 Further remarks 97
Chapter 8. Tangents to Related Spaces 100
8.1 The definition of JZ (X) for a surface X 100
8.2 Duality and the description of ZZ[(X) using differential forms 115
8.3 Definitions of ZZ (X) for X acurve and a surface 123
8.4 Identification of the geometric and formal tangent spaces to
CH2(X) for X a surface 141
8.5 Canonical filtration on TCH (X) and its relation to the conjectural filtration
on CHn(X) 145
vi CONTENTS
Chapter 9. Applications and Examples 150
9.1 The generalization of Abel s differential equations 150
9.2 On the integration of Abel s differential equations 162
9.3 Surfaces in P3 166
9.4 Example: (P2, T) 176
Chapter 10. Speculations and Questions 186
10.1 Definitional issues 186
10.2 Obstructedness issues 187
10.3 Null curves 190
10.4 Arithmetic and geometric estimates 191
Bibliography 195
Index 199
|
| any_adam_object | 1 |
| author | Green, Mark 1947- Griffiths, Phillip 1938- |
| author_GND | (DE-588)129505234 (DE-588)131881434 |
| author_facet | Green, Mark 1947- Griffiths, Phillip 1938- |
| author_role | aut aut |
| author_sort | Green, Mark 1947- |
| author_variant | m g mg p g pg |
| building | Verbundindex |
| bvnumber | BV019730929 |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 830 SK 240 |
| ctrlnum | (OCoLC)253866962 (DE-599)BVBBV019730929 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019730929 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:04:49Z |
| institution | BVB |
| isbn | 0691120439 0691120447 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013057848 |
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| owner_facet | DE-19 DE-BY-UBM DE-20 DE-29T DE-11 DE-703 |
| physical | VI, 200 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Green, Mark 1947- Verfasser (DE-588)129505234 aut On the tangent space to the space of algebraic cycles on a smooth algebraic variety Mark Green and Phillip Griffiths Princeton, NJ [u.a.] Princeton Univ. Press 2005 VI, 200 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 157 Algebraic cycles Algebraische Geometrie Algebraische Varietät Algebraischer Zyklus Geometry, Algebraic Hodge theory Tangentialraum Differenzierbare Mannigfaltigkeit - Algebraischer Zyklus - Algebraische Varietät - Tangentialraum Algebraische Zykel (DE-588)4141856-6 gnd rswk-swf Tangentialraum (DE-588)4792364-7 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s Algebraische Zykel (DE-588)4141856-6 s Algebraische Varietät (DE-588)4581715-7 s Tangentialraum (DE-588)4792364-7 s DE-604 Griffiths, Phillip 1938- Verfasser (DE-588)131881434 aut Annals of mathematics studies 157 (DE-604)BV000000991 157 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013057848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Green, Mark 1947- Griffiths, Phillip 1938- On the tangent space to the space of algebraic cycles on a smooth algebraic variety Annals of mathematics studies Algebraic cycles Algebraische Geometrie Algebraische Varietät Algebraischer Zyklus Geometry, Algebraic Hodge theory Tangentialraum Differenzierbare Mannigfaltigkeit - Algebraischer Zyklus - Algebraische Varietät - Tangentialraum Algebraische Zykel (DE-588)4141856-6 gnd Tangentialraum (DE-588)4792364-7 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| subject_GND | (DE-588)4141856-6 (DE-588)4792364-7 (DE-588)4012269-4 (DE-588)4581715-7 |
| title | On the tangent space to the space of algebraic cycles on a smooth algebraic variety |
| title_auth | On the tangent space to the space of algebraic cycles on a smooth algebraic variety |
| title_exact_search | On the tangent space to the space of algebraic cycles on a smooth algebraic variety |
| title_full | On the tangent space to the space of algebraic cycles on a smooth algebraic variety Mark Green and Phillip Griffiths |
| title_fullStr | On the tangent space to the space of algebraic cycles on a smooth algebraic variety Mark Green and Phillip Griffiths |
| title_full_unstemmed | On the tangent space to the space of algebraic cycles on a smooth algebraic variety Mark Green and Phillip Griffiths |
| title_short | On the tangent space to the space of algebraic cycles on a smooth algebraic variety |
| title_sort | on the tangent space to the space of algebraic cycles on a smooth algebraic variety |
| topic | Algebraic cycles Algebraische Geometrie Algebraische Varietät Algebraischer Zyklus Geometry, Algebraic Hodge theory Tangentialraum Differenzierbare Mannigfaltigkeit - Algebraischer Zyklus - Algebraische Varietät - Tangentialraum Algebraische Zykel (DE-588)4141856-6 gnd Tangentialraum (DE-588)4792364-7 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| topic_facet | Algebraic cycles Algebraische Geometrie Algebraische Varietät Algebraischer Zyklus Geometry, Algebraic Hodge theory Tangentialraum Differenzierbare Mannigfaltigkeit - Algebraischer Zyklus - Algebraische Varietät - Tangentialraum Algebraische Zykel Differenzierbare Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013057848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
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