Abelian varieties:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2008
New Delhi Hindustan Book Agency |
| Ausgabe: | 2. ed., corr. repr. |
| Schriftenreihe: | Tata Institute of Fundamental Research: Studies in mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XII, 264 S. graph. Darst. |
| ISBN: | 9788185931869 8185931860 |
Internformat
MARC
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| 245 | 1 | 0 | |a Abelian varieties |c David Mumford |
| 250 | |a 2. ed., corr. repr. | ||
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2008 | |
| 264 | 1 | |a New Delhi |b Hindustan Book Agency | |
| 300 | |a XII, 264 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Tata Institute of Fundamental Research: Studies in mathematics |v 5 | |
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| 650 | 4 | |a Abelian varieties | |
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Datensatz im Suchindex
| _version_ | 1804140686483652608 |
|---|---|
| adam_text | Contents
Introduction
vii
I ANALYTIC THEORY
1
1.
Complex tori
....................... 1
2.
Line bundles on a complex torus
............ 12
3.
Algebraizability of tori
.................. 23
II ALGEBRAIC THEORY VIA VARIETIES
37
4.
Definition of abelian varieties
.............. 37
5.
Cohomology and base change
.............. 43
6.
The theorem of the cube: 1
................ 52
7.
Dividing varieties by finite groups
............ 62
8.
The dual abelian variety: char
0............ 70
9.
The case
к = С......................
78
IIIALGEBRAIC THEORY VIA SCHEMES
85
10.
The theorem of the cube (II)
............... 85
11.
Basic theory of group schemes
.............. 89
12.
Quotients by finite group schemes
............ 102
13.
The Dual Abelian Variety
................ 115
14.
Duality: Finite Commutative Group Schemes
..... 124
15.
Application to abelian varieties
............. 134
16.
Cohomology of line bundles
............... 140
17.
Very ample
Une
bundles
................. 152
IV Hom(X, X) and l-adic Representation
155
18.
Etale
coverings
...................... 155
19.
Structure of Hom(X, X)
................. 160
20.
Riemann forms
...................... 170
21.
Positivity
of the
Rosati
involution
............ 178
22.
Examples
......................... 194
23.
The group &(L)
...................... 204
24.
The case
к = С......................
218
xii
ABELIAN
VARIETIES
Appendix I: The Theorem of
Tate
by C.P. Ramanujam
223
Appendix II: Mordell-Weil Theorem by Yuri
Manin
243
Bibliography
259
Index
262
|
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| author | Mumford, David 1937- |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed., corr. repr. |
| format | Book |
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| id | DE-604.BV035762203 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:55Z |
| institution | BVB |
| isbn | 9788185931869 8185931860 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018622052 |
| oclc_num | 297809496 |
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| physical | XII, 264 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Mathematical Society Hindustan Book Agency |
| record_format | marc |
| series | Tata Institute of Fundamental Research: Studies in mathematics |
| series2 | Tata Institute of Fundamental Research: Studies in mathematics |
| spelling | Mumford, David 1937- Verfasser (DE-588)115549021 aut Abelian varieties David Mumford 2. ed., corr. repr. Providence, RI American Mathematical Society 2008 New Delhi Hindustan Book Agency XII, 264 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research: Studies in mathematics 5 Hier auch später erschienene, unveränderte Nachdrucke Abelian varieties Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd rswk-swf Abelsches Gruppenschema (DE-588)4140999-1 gnd rswk-swf Varietät Mathematik (DE-588)4325475-5 gnd rswk-swf Abelsche Mannigfaltigkeit (DE-588)4140992-9 s DE-604 Varietät Mathematik (DE-588)4325475-5 s 1\p DE-604 Abelsches Gruppenschema (DE-588)4140999-1 s 2\p DE-604 Tata Institute of Fundamental Research: Studies in mathematics 5 (DE-604)BV004244858 5 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018622052&sequence=000002&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 |
| spellingShingle | Mumford, David 1937- Abelian varieties Tata Institute of Fundamental Research: Studies in mathematics Abelian varieties Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd Abelsches Gruppenschema (DE-588)4140999-1 gnd Varietät Mathematik (DE-588)4325475-5 gnd |
| subject_GND | (DE-588)4140992-9 (DE-588)4140999-1 (DE-588)4325475-5 |
| title | Abelian varieties |
| title_auth | Abelian varieties |
| title_exact_search | Abelian varieties |
| title_full | Abelian varieties David Mumford |
| title_fullStr | Abelian varieties David Mumford |
| title_full_unstemmed | Abelian varieties David Mumford |
| title_short | Abelian varieties |
| title_sort | abelian varieties |
| topic | Abelian varieties Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd Abelsches Gruppenschema (DE-588)4140999-1 gnd Varietät Mathematik (DE-588)4325475-5 gnd |
| topic_facet | Abelian varieties Abelsche Mannigfaltigkeit Abelsches Gruppenschema Varietät Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018622052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004244858 |
| work_keys_str_mv | AT mumforddavid abelianvarieties |