A survey of the Hodge conjecture:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1999
|
| Edition: | 2. ed. |
| Series: | CRM monograph series
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 368 S. |
| ISBN: | 0821805681 |
Staff View
MARC
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| 245 | 1 | 0 | |a A survey of the Hodge conjecture |c James D. Lewis |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1999 | |
| 300 | |a XVI, 368 S. | ||
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| 650 | 4 | |a Géométrie algébrique | |
| 650 | 4 | |a Hodge, Théorie de | |
| 650 | 7 | |a Variétés abéliennes |2 ram | |
| 650 | 4 | |a Hodge theory | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
to the First Edition
ix
Preface to the Second Edition
xi
A Brief Description of the Contents in these Lectures
xiii
Lecture
1.
Complex Manifolds
1
Lecture
2.
Vector Bundles
17
Lecture
3. Kahler
Manifolds
29
Lecture
4.
Line Bundles
41
Lecture
5.
The Lefschetz
(1,1)
Theorem
57
Lecture
6.
The Lefschetz
(1,1)
Theorem Revisited
71
Lecture
7.
Formulation of the General Hodge Conjecture
85
Lecture
8.
Chern Class Theory
103
Lecture
9.
Cohomology of Complete Intersections
119
Lecture
10.
The Hodge Theorem
139
Lecture
11.
Analytic and Topological Necessities of the
Kahler
Condition
159
Lecture
12.
Intermediate Jacobians
171
Lecture
13.
Various Approaches to the Hodge Conjecture for Varieties With
Well Understood Geometric Structure
197
Lecture
14.
The Approach to the Hodge Conjecture via Normal Functions
227
Lecture
15.
Hodge Theory and Chow Groups
247
Appendix A. Results and Formulations in the Singular Case
283
Appendix B. A Survey of the Hodge Conjecture for Abelian Varieties
297
Index
357
Index of Notation
365
|
| any_adam_object | 1 |
| author | Lewis, James D. |
| author_facet | Lewis, James D. |
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| ctrlnum | (OCoLC)40744358 (DE-599)BVBBV013288830 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013288830 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:43:12Z |
| institution | BVB |
| isbn | 0821805681 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009060555 |
| oclc_num | 40744358 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-11 DE-92 |
| physical | XVI, 368 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | CRM monograph series |
| series2 | CRM monograph series |
| spelling | Lewis, James D. Verfasser aut A survey of the Hodge conjecture James D. Lewis 2. ed. Providence, RI American Math. Soc. 1999 XVI, 368 S. txt rdacontent n rdamedia nc rdacarrier CRM monograph series 10 Géométrie algébrique Hodge, Théorie de Variétés abéliennes ram Hodge theory Hodge-Theorie (DE-588)4135967-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Hodge-Theorie (DE-588)4135967-7 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 CRM monograph series 10 (DE-604)BV007928388 10 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009060555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lewis, James D. A survey of the Hodge conjecture CRM monograph series Géométrie algébrique Hodge, Théorie de Variétés abéliennes ram Hodge theory Hodge-Theorie (DE-588)4135967-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4135967-7 (DE-588)4001161-6 |
| title | A survey of the Hodge conjecture |
| title_auth | A survey of the Hodge conjecture |
| title_exact_search | A survey of the Hodge conjecture |
| title_full | A survey of the Hodge conjecture James D. Lewis |
| title_fullStr | A survey of the Hodge conjecture James D. Lewis |
| title_full_unstemmed | A survey of the Hodge conjecture James D. Lewis |
| title_short | A survey of the Hodge conjecture |
| title_sort | a survey of the hodge conjecture |
| topic | Géométrie algébrique Hodge, Théorie de Variétés abéliennes ram Hodge theory Hodge-Theorie (DE-588)4135967-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Géométrie algébrique Hodge, Théorie de Variétés abéliennes Hodge theory Hodge-Theorie Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009060555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007928388 |
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