Arithmetic of p-adic modular forms:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
[1988]
|
| Schriftenreihe: | Lecture notes in mathematics
1304 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii, 121 Seiten |
| ISBN: | 3540189467 0387189467 |
Internformat
MARC
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| 100 | 1 | |a Gouvêa, Fernando Q. |d 1957- |0 (DE-588)111808863 |4 aut | |
| 245 | 1 | 0 | |a Arithmetic of p-adic modular forms |c Fernando Q. Gouvêa |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c [1988] | |
| 264 | 4 | |c © 1988 | |
| 300 | |a viii, 121 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1304 | |
| 650 | 4 | |a Analyse p-adique | |
| 650 | 4 | |a Formes modulaires | |
| 650 | 7 | |a P-adische getallen |2 gtt | |
| 650 | 4 | |a Forms, Modular | |
| 650 | 4 | |a p-adic analysis | |
| 650 | 0 | 7 | |a Modulform |0 (DE-588)4128299-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Modulform |0 (DE-588)4197571-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adischer Zahlkörper |0 (DE-588)4173065-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a p-adischer Zahlkörper |0 (DE-588)4173065-3 |D s |
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Datensatz im Suchindex
| _version_ | 1809222444034031616 |
|---|---|
| adam_text |
Contents
I p adic Modular Forms 1
1.1 Level Structures and Trivializations 3
1.2 p adic Modular Forms with Growth Conditions 4
1.2.1 Definitions 5
1.2.2 Basic Properties 7
1.3 Generalized p adic Modular Functions 13
1.3.1 Definition 14
1.3.2 The g expansion map 16
1.3.3 Diamond operators 17
1.3.4 Weight and nebentypus 19
1.3.5 Modular forms and modular functions 19
1.3.6 Divided congruences 23
1.3.7 Appendix: Modular forms of weight x 26
II Hecke and U Operators 30
II. 1 Hecke Operators 30
11.1.1 Direct definition 31
11.1.2 Hecke operators on divided congruences 33
11.2 The Frobenius Operator 34
11.3 The U Operator 42
11.3.1 Definition 42
11.3.2 U and overconvergence 43
11.3.3 U and Frobenius 51
11.3.4 Spectral theory: the overconvergent case 54
11.3.5 Spectral theory: the ordinary case 59
11.3.6 The characteristic power series 61
11.3.7 Varying the weight 66
11.4 Appendix: Hida's theory of the ordinary part 69
III Galois Representations 71
III.l Duality Theorems 72
111.1.1 Classical duality 72
111.1.2 Duality for parabolic p adic modular functions 73
viii Contents
III.1.3 The non parabolic case . 77
111.2 Families of Modular Forms 80
111.3 Changing the Level 83
111.4 Deformations of Residual Eigenforms 87
111.4.1 Universal deformations 88
111.4.2 Deformations outside Np 89
111.4.3 Some classical results 92
111.5 Deformations of Galois Representations 93
111.6 The modular deformation space 99
111.6.1 Changing the weight 99
111.6.2 Twisting 100
111.6.3 Families of twists, and an estimate for the Krull dimension of the
modular deformation ring 106
111.6.4 The ordinary case 109
111.7 Further Questions 112 |
| any_adam_object | 1 |
| author | Gouvêa, Fernando Q. 1957- |
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| author_facet | Gouvêa, Fernando Q. 1957- |
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| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.74 |
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| illustrated | Not Illustrated |
| indexdate | 2024-09-04T00:16:17Z |
| institution | BVB |
| isbn | 3540189467 0387189467 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000499904 |
| oclc_num | 230922921 |
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| physical | viii, 121 Seiten |
| psigel | TUB-nve |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Gouvêa, Fernando Q. 1957- (DE-588)111808863 aut Arithmetic of p-adic modular forms Fernando Q. Gouvêa Berlin, [u.a.] Springer [1988] © 1988 viii, 121 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1304 Analyse p-adique Formes modulaires P-adische getallen gtt Forms, Modular p-adic analysis Modulform (DE-588)4128299-1 gnd rswk-swf p-adische Modulform (DE-588)4197571-6 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 s Modulform (DE-588)4128299-1 s DE-604 p-adische Modulform (DE-588)4197571-6 s Erscheint auch als Online-Ausgabe 978-3-540-38854-8 Lecture notes in mathematics 1304 (DE-604)BV000676446 1304 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000499904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gouvêa, Fernando Q. 1957- Arithmetic of p-adic modular forms Lecture notes in mathematics Analyse p-adique Formes modulaires P-adische getallen gtt Forms, Modular p-adic analysis Modulform (DE-588)4128299-1 gnd p-adische Modulform (DE-588)4197571-6 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4197571-6 (DE-588)4173065-3 |
| title | Arithmetic of p-adic modular forms |
| title_auth | Arithmetic of p-adic modular forms |
| title_exact_search | Arithmetic of p-adic modular forms |
| title_full | Arithmetic of p-adic modular forms Fernando Q. Gouvêa |
| title_fullStr | Arithmetic of p-adic modular forms Fernando Q. Gouvêa |
| title_full_unstemmed | Arithmetic of p-adic modular forms Fernando Q. Gouvêa |
| title_short | Arithmetic of p-adic modular forms |
| title_sort | arithmetic of p adic modular forms |
| topic | Analyse p-adique Formes modulaires P-adische getallen gtt Forms, Modular p-adic analysis Modulform (DE-588)4128299-1 gnd p-adische Modulform (DE-588)4197571-6 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| topic_facet | Analyse p-adique Formes modulaires P-adische getallen Forms, Modular p-adic analysis Modulform p-adische Modulform p-adischer Zahlkörper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000499904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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