Hodge theory and the local Torelli problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1983
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
279 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 43, Number 279 (second of 5 numbers) |
| Beschreibung: | VI, 64 S. |
| ISBN: | 0821822799 |
Internformat
MARC
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| 245 | 1 | 0 | |a Hodge theory and the local Torelli problem |c Loring W. Tu |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1983 | |
| 300 | |a VI, 64 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 279 | |
| 500 | |a Volume 43, Number 279 (second of 5 numbers) | ||
| 650 | 7 | |a Geometria Algebrica |2 larpcal | |
| 650 | 7 | |a Matematica |2 larpcal | |
| 650 | 4 | |a Curves, Algebraic | |
| 650 | 4 | |a Hodge theory | |
| 650 | 4 | |a Surfaces, Algebraic | |
| 650 | 4 | |a Torelli theorem | |
| 650 | 0 | 7 | |a Hodge-Theorie |0 (DE-588)4135967-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Kurve |0 (DE-588)4001165-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Hodge-Theorie |0 (DE-588)4135967-7 |D s |
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Datensatz im Suchindex
| _version_ | 1804120642161737728 |
|---|---|
| adam_text | Table of Contents
Introduction v
I. Variation of Hodge structure 1
§1. The period map 1
§2. The Hodge bundles in the smooth case 5
§3. The Hodge bundles when there are singular fibers 7
The log complex 7
Relative dualizing sheaf 8
The canonical extension n
§4. A multiplicative formula for the holomorphic Euler
characteristic 13
§ 5. Monodromy 15
§6. Mixed Hodge structures and the numerical invariants of
a degeneration 21
6.1. Varieties with normal crossings 22
6.2. The limiting mixed Hodge structure 27
6.3. The Clemens Schmid exact sequence 28
6.4. Genus of a singular curve 31
II. Local Torelli for curves 34
§7. The case of no singular fibers 35
§8. With singular fibers 37
8.1. First proof: mixed Hodge structure and the
topology of the singular fiber 37
8.2. Second proof: using the relative dualizing
sheaf to map X into a projective space 38
8.3. Third proof: the ample cone on the moduli
space J£. 42
III. Local Torelli in higher dimensions 46
§9. Surfaces with large irregularity 48
§10. Threefolds and fourfolds with large irregularity 52
Bibliography 55
List of Notations 57
Index 60
|
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| author | Tu, Loring W. 1952- |
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| dewey-full | 516.3/52 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516.3/52 510 |
| dewey-search | 516.3/52 510 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006394034 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:45:20Z |
| institution | BVB |
| isbn | 0821822799 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004048516 |
| oclc_num | 9324724 |
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| physical | VI, 64 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Tu, Loring W. 1952- Verfasser (DE-588)110090322 aut Hodge theory and the local Torelli problem Loring W. Tu Providence, RI American Math. Soc. 1983 VI, 64 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 279 Volume 43, Number 279 (second of 5 numbers) Geometria Algebrica larpcal Matematica larpcal Curves, Algebraic Hodge theory Surfaces, Algebraic Torelli theorem Hodge-Theorie (DE-588)4135967-7 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Flächentheorie (DE-588)4475211-8 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s Hodge-Theorie (DE-588)4135967-7 s DE-604 Flächentheorie (DE-588)4475211-8 s American Mathematical Society: Memoirs of the American Mathematical Society 279 (DE-604)BV008000141 279 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004048516&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tu, Loring W. 1952- Hodge theory and the local Torelli problem American Mathematical Society: Memoirs of the American Mathematical Society Geometria Algebrica larpcal Matematica larpcal Curves, Algebraic Hodge theory Surfaces, Algebraic Torelli theorem Hodge-Theorie (DE-588)4135967-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd Flächentheorie (DE-588)4475211-8 gnd |
| subject_GND | (DE-588)4135967-7 (DE-588)4001165-3 (DE-588)4475211-8 |
| title | Hodge theory and the local Torelli problem |
| title_auth | Hodge theory and the local Torelli problem |
| title_exact_search | Hodge theory and the local Torelli problem |
| title_full | Hodge theory and the local Torelli problem Loring W. Tu |
| title_fullStr | Hodge theory and the local Torelli problem Loring W. Tu |
| title_full_unstemmed | Hodge theory and the local Torelli problem Loring W. Tu |
| title_short | Hodge theory and the local Torelli problem |
| title_sort | hodge theory and the local torelli problem |
| topic | Geometria Algebrica larpcal Matematica larpcal Curves, Algebraic Hodge theory Surfaces, Algebraic Torelli theorem Hodge-Theorie (DE-588)4135967-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd Flächentheorie (DE-588)4475211-8 gnd |
| topic_facet | Geometria Algebrica Matematica Curves, Algebraic Hodge theory Surfaces, Algebraic Torelli theorem Hodge-Theorie Algebraische Kurve Flächentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004048516&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT tuloringw hodgetheoryandthelocaltorelliproblem |