Compactification of the Drinfeld modular surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2009
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| Schriftenreihe: | Memoirs of the American Mathematical Society
921 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 197, number 921 (third of 5 numbers)." Includes bibliographical references and index |
| Beschreibung: | XI, 94 S. graph. Darst. |
| ISBN: | 9780821842447 |
Internformat
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| 245 | 1 | 0 | |a Compactification of the Drinfeld modular surfaces |c Thomas Lehmkuhl |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2009 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 921 | |
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| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Drinfeld modules | |
| 650 | 4 | |a Deformations (Mechanics) | |
| 650 | 4 | |a Surfaces, Algebraic | |
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Datensatz im Suchindex
| _version_ | 1804138630609895424 |
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| adam_text | Titel: Compactification of the Drinfeld modular surfaces
Autor: Lehmkuhl, Thomas
Jahr: 2009
Contents
Introduction ix
Chapter 1. Line Bundles 1
1. Basic notions 1
2. Homomorphisms of line bundles 3
3. Quotients 7
4. The convergence lemma 10
Chapter 2. Drinfeld Modules 15
1. Analytical definition of Drinfeld modules 15
2. The category of Drinfeld modules 19
3. Drinfeld modules over fields 22
4. Level structures 25
5. Modular manifolds 28
6. Pseudo-Drinfeld modules 30
Chapter 3. Deformation Theory 33
1. Deformations of Drinfeld modules 33
2. Deformations of isogenies 40
3. Deformations of level structures 42
4. Smoothness of the moduli spaces 46
5. Group action on the moduli space 47
Chapter 4. Tate Uniformization 51
1. Formal schemes 51
2. Good and stable reduction 54
3. Lattices and Tate data 57
4. Group action 64
Chapter 5. Compactification of the Modular Surfaces 67
1. Formal representability of Tate data 67
2. The universal Drinfeld module with bad reduction 73
3. Algebraization 78
Appendix 85
A. Induced schemes 85
vi CONTENTS
B. Construction of coherent sheaves 86
Bibliography 89
Glossary of Notations 91
Index 93
|
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| indexdate | 2024-07-09T21:31:15Z |
| institution | BVB |
| isbn | 9780821842447 |
| language | English |
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| physical | XI, 94 S. graph. Darst. |
| publishDate | 2009 |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Lehmkuhl, Thomas Verfasser aut Compactification of the Drinfeld modular surfaces Thomas Lehmkuhl Providence, R.I. American Mathematical Society 2009 XI, 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 921 "Volume 197, number 921 (third of 5 numbers)." Includes bibliographical references and index Drinfeld modules Deformations (Mechanics) Surfaces, Algebraic Algebraische Fläche (DE-588)4195660-6 gnd rswk-swf Deformation (DE-588)4070262-5 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 s Deformation (DE-588)4070262-5 s Algebraische Fläche (DE-588)4195660-6 s DE-604 Memoirs of the American Mathematical Society 921 (DE-604)BV008000141 921 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017126292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lehmkuhl, Thomas Compactification of the Drinfeld modular surfaces Memoirs of the American Mathematical Society Drinfeld modules Deformations (Mechanics) Surfaces, Algebraic Algebraische Fläche (DE-588)4195660-6 gnd Deformation (DE-588)4070262-5 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| subject_GND | (DE-588)4195660-6 (DE-588)4070262-5 (DE-588)4132653-2 |
| title | Compactification of the Drinfeld modular surfaces |
| title_auth | Compactification of the Drinfeld modular surfaces |
| title_exact_search | Compactification of the Drinfeld modular surfaces |
| title_full | Compactification of the Drinfeld modular surfaces Thomas Lehmkuhl |
| title_fullStr | Compactification of the Drinfeld modular surfaces Thomas Lehmkuhl |
| title_full_unstemmed | Compactification of the Drinfeld modular surfaces Thomas Lehmkuhl |
| title_short | Compactification of the Drinfeld modular surfaces |
| title_sort | compactification of the drinfeld modular surfaces |
| topic | Drinfeld modules Deformations (Mechanics) Surfaces, Algebraic Algebraische Fläche (DE-588)4195660-6 gnd Deformation (DE-588)4070262-5 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| topic_facet | Drinfeld modules Deformations (Mechanics) Surfaces, Algebraic Algebraische Fläche Deformation Drinfeld-Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017126292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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