Drinfeld modular curves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer
[1986]
|
| Series: | Lecture notes in mathematics
1231 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 107 Seiten |
| ISBN: | 3540172017 0387172017 9783540172017 9783540473862 |
Staff View
MARC
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| 490 | 1 | |a Lecture notes in mathematics |v 1231 | |
| 490 | 1 | |a [Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn] |v 8 | |
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| 650 | 4 | |a Formes modulaires | |
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| 650 | 7 | |a Krommen |2 gtt | |
| 650 | 4 | |a Treillis, Théorie des | |
| 650 | 4 | |a Forms, Modular | |
| 650 | 4 | |a Lattice theory | |
| 650 | 4 | |a Modular curves | |
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Record in the Search Index
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Table of Contents
Introduction
0 Notations 1
1 Drinfeld Modules
1. Algebraic Theory 2
2. Analytic Theory 5
3. The Operation of GL(r,Af) 7
4. The Modular Schemes for r = 1 and 2 9
II Lattices
1. Adelic Description of Lattices 10
2. Lattice Invariants 13
3. Morphisms of Lattices 15
III Partial Zeta Functions
1. Relations with Lattice Sums 17
2. The Rational Function Zo (S) 20
3. Evaluation at s = 0 and s = -1 22
IV Drinfeld Modules of Rank 1
1. The Case of a Rational Function Field 25
2. Normalization 26
3. Some Lemmata 30
4. Computation of Lattice Invariants 33
5. Distinguished 1-D-Modules 38
V Modular Curves over C
1. The "Upper Half-Plane" 40
2. Group Actions 43
3. Modular Forms 47
4. Elliptic Points 50
5. Modular Forms and Differentials 51
Appendix: The First Betti Number of r 54
IV
VI Expansions around Cusps
1 . Preparations 58
2. Formulae 60
3. Computation of the Factors 61
4. The A-Functions 65
5. Some Consequences 71
VII Modular Forms and Functions
1. The Field of Modular Functions 78
2. The Field of Definition of the Elliptic Points 82
3. Behavior of E(q~1) at Elliptic Points 83
4. The Graded Algebra of Modular Forms 85
5. Higher Modular Curves 86
6. Modular Forms for Congruence Subgroups 92
VIII Complements
1 . Hecke Operators 94
2. Connections with the Classification of Elliptic Curves 96
3. Some Open Questions 99
Index 101
List of Symbols 102
Bibliography 104 |
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| author | Gekeler, Ernst-Ulrich 1951- |
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| id | DE-604.BV000580254 |
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| indexdate | 2024-07-20T04:38:28Z |
| institution | BVB |
| isbn | 3540172017 0387172017 9783540172017 9783540473862 |
| language | English |
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| physical | XIV, 107 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics [Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn] |
| spelling | Gekeler, Ernst-Ulrich 1951- (DE-588)1077889755 aut Drinfeld modular curves Ernst-Ulrich Gekeler Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer [1986] © 1986 XIV, 107 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1231 [Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn] 8 Courbes modulaires Formes modulaires Getaltheorie gtt Krommen gtt Treillis, Théorie des Forms, Modular Lattice theory Modular curves Kurve (DE-588)4033824-1 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 s DE-604 Kurve (DE-588)4033824-1 s Erscheint auch als Online-Ausgabe 978-3-540-17201-7 Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn] [Lecture notes in mathematics 8 (DE-604)BV005628488 8 Lecture notes in mathematics 1231 (DE-604)BV000676446 1231 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000358620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gekeler, Ernst-Ulrich 1951- Drinfeld modular curves Lecture notes in mathematics Courbes modulaires Formes modulaires Getaltheorie gtt Krommen gtt Treillis, Théorie des Forms, Modular Lattice theory Modular curves Kurve (DE-588)4033824-1 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| subject_GND | (DE-588)4033824-1 (DE-588)4132653-2 |
| title | Drinfeld modular curves |
| title_auth | Drinfeld modular curves |
| title_exact_search | Drinfeld modular curves |
| title_full | Drinfeld modular curves Ernst-Ulrich Gekeler |
| title_fullStr | Drinfeld modular curves Ernst-Ulrich Gekeler |
| title_full_unstemmed | Drinfeld modular curves Ernst-Ulrich Gekeler |
| title_short | Drinfeld modular curves |
| title_sort | drinfeld modular curves |
| topic | Courbes modulaires Formes modulaires Getaltheorie gtt Krommen gtt Treillis, Théorie des Forms, Modular Lattice theory Modular curves Kurve (DE-588)4033824-1 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| topic_facet | Courbes modulaires Formes modulaires Getaltheorie Krommen Treillis, Théorie des Forms, Modular Lattice theory Modular curves Kurve Drinfeld-Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000358620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005628488 (DE-604)BV000676446 |
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