Schottky groups and Mumford curves:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1980
|
| Schriftenreihe: | Lecture notes in mathematics
817 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 316 S. |
| ISBN: | 3540102299 0387102299 |
Internformat
MARC
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| 100 | 1 | |a Gerritzen, Lothar |d 1941-2024 |e Verfasser |0 (DE-588)106188135 |4 aut | |
| 245 | 1 | 0 | |a Schottky groups and Mumford curves |c Lothar Gerritzen ; Marius van der Put |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1980 | |
| 300 | |a VI, 316 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 817 | |
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| 650 | 4 | |a Algebraic fields | |
| 650 | 4 | |a Analytic spaces | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Curves, Algebraic | |
| 650 | 4 | |a Discontinuous groups | |
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| 650 | 0 | 7 | |a Mumford-Kurve |0 (DE-588)4400569-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1805073649941610496 |
|---|---|
| adam_text |
Table of Contents
I. Discontinuous groups 1
§ 1 Groups acting on IP 2
§2 The tree of a compact subset of IP 10
§3 Structure theorem for discontinuous groups 19
§4 Fundamental domains for a Schottky group 26
II. Mumford curves via automorphic forms 3 7
§ 1 Analytic and meromorphic functions , 39
§2 Construction of automorphic forms 44
§3 Determination of automorphic forms 50
§4 Analytic mappings 59
§5 The field of r -invariant meromorphic functions 62
III. The geometry of Mumford curves 70
§1 k-analytic spaces 71
§2 The construction of fl/F for a Schottky group r 105
IV. Totally split curves and universal coverings 125
§1 Analytic subspaces of IP 125
§2 Genus zero spaces 138
§3 The universal covering of a totally split curve 149
V. Analytic reductions of algebraic curves 154
§1 Fields with a discrete valuation 155
§2 Generalities on analytic reductions 158
§3 Hyperelliptic curves 163
§4 Tame coverings of IP 170
§5 Curves locally isomorphic toff 176
VI. Jacobian Varieties 181
§1 Divisor classes and automorphy factors 182
§2 Period matrix 190
§3 Theta functions 197
§4 Analytic differential forms 208
VIII
VII. Automorphisms of Mumford curves 213
§1 Lifting of automorphisms 214
§2 The normalizer of a Schottky group in PSL.(K) 216
§3 Orthogonality . 220
§4 On the order of the automorphism group 221
VIII. The curve of a discontinuous group and its Jacobian 233
variety
§1 Automorphic forms relative to a discontinuous group 234
§2 Automorphy factors of forms without zeroes and poles 239
§3 Period lattices 242
§4 Divisor class group 246
§5 Examples 251
IX. Examples: Groups of Quaternions; Whittaker groups 257
§1 Groups of Quaternions 258
§2 Whittaker groups 278
X. The group PSL(2, IF [ t] ) 287
References 310
Subject index 313
Symbols 317 |
| any_adam_object | 1 |
| author | Gerritzen, Lothar 1941-2024 Put, Marius van der 1941- |
| author_GND | (DE-588)106188135 (DE-588)115533249 |
| author_facet | Gerritzen, Lothar 1941-2024 Put, Marius van der 1941- |
| author_role | aut aut |
| author_sort | Gerritzen, Lothar 1941-2024 |
| author_variant | l g lg m v d p mvd mvdp |
| building | Verbundindex |
| bvnumber | BV002264213 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)6648474 (DE-599)BVBBV002264213 |
| dewey-full | 512/.33 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
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| dewey-search | 512/.33 510 |
| dewey-sort | 3512 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002264213 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T05:12:58Z |
| institution | BVB |
| isbn | 3540102299 0387102299 |
| language | English |
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| physical | VI, 316 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Gerritzen, Lothar 1941-2024 Verfasser (DE-588)106188135 aut Schottky groups and Mumford curves Lothar Gerritzen ; Marius van der Put Berlin [u.a.] Springer 1980 VI, 316 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 817 Corps algébriques Courbes algébriques Espaces analytiques Formes automorphes Groepen (wiskunde) gtt Groupes discontinus Krommen gtt Algebraic fields Analytic spaces Automorphic forms Curves, Algebraic Discontinuous groups Schottky-Gruppe (DE-588)4399239-0 gnd rswk-swf Mumford-Kurve (DE-588)4400569-6 gnd rswk-swf Körpertheorie (DE-588)4164455-4 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Analytischer Raum (DE-588)4001871-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Analytischer Raum (DE-588)4001871-4 s DE-604 Automorphe Form (DE-588)4003972-9 s Algebraische Kurve (DE-588)4001165-3 s Körpertheorie (DE-588)4164455-4 s Mumford-Kurve (DE-588)4400569-6 s Schottky-Gruppe (DE-588)4399239-0 s Put, Marius van der 1941- Verfasser (DE-588)115533249 aut Lecture notes in mathematics 817 (DE-604)BV000676446 817 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487951&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gerritzen, Lothar 1941-2024 Put, Marius van der 1941- Schottky groups and Mumford curves Lecture notes in mathematics Corps algébriques Courbes algébriques Espaces analytiques Formes automorphes Groepen (wiskunde) gtt Groupes discontinus Krommen gtt Algebraic fields Analytic spaces Automorphic forms Curves, Algebraic Discontinuous groups Schottky-Gruppe (DE-588)4399239-0 gnd Mumford-Kurve (DE-588)4400569-6 gnd Körpertheorie (DE-588)4164455-4 gnd Algebraische Kurve (DE-588)4001165-3 gnd Automorphe Form (DE-588)4003972-9 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| subject_GND | (DE-588)4399239-0 (DE-588)4400569-6 (DE-588)4164455-4 (DE-588)4001165-3 (DE-588)4003972-9 (DE-588)4001871-4 (DE-588)4113937-9 |
| title | Schottky groups and Mumford curves |
| title_auth | Schottky groups and Mumford curves |
| title_exact_search | Schottky groups and Mumford curves |
| title_full | Schottky groups and Mumford curves Lothar Gerritzen ; Marius van der Put |
| title_fullStr | Schottky groups and Mumford curves Lothar Gerritzen ; Marius van der Put |
| title_full_unstemmed | Schottky groups and Mumford curves Lothar Gerritzen ; Marius van der Put |
| title_short | Schottky groups and Mumford curves |
| title_sort | schottky groups and mumford curves |
| topic | Corps algébriques Courbes algébriques Espaces analytiques Formes automorphes Groepen (wiskunde) gtt Groupes discontinus Krommen gtt Algebraic fields Analytic spaces Automorphic forms Curves, Algebraic Discontinuous groups Schottky-Gruppe (DE-588)4399239-0 gnd Mumford-Kurve (DE-588)4400569-6 gnd Körpertheorie (DE-588)4164455-4 gnd Algebraische Kurve (DE-588)4001165-3 gnd Automorphe Form (DE-588)4003972-9 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| topic_facet | Corps algébriques Courbes algébriques Espaces analytiques Formes automorphes Groepen (wiskunde) Groupes discontinus Krommen Algebraic fields Analytic spaces Automorphic forms Curves, Algebraic Discontinuous groups Schottky-Gruppe Mumford-Kurve Körpertheorie Algebraische Kurve Automorphe Form Analytischer Raum Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487951&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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