Arithmetic of p-adic Modular Forms
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1304 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Arithmetic of p-adic modular forms, Fernando Q. Gouvêa, 1988, Berlin, Springer-Verlag, 1 volume (VIII-121 pages), Lecture notes in mathematics, 3-540-18946-7 • Arithmetic of p-adic Modular Forms, Texte imprimé, 9783662193846 |
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|---|---|---|---|
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| 009 | PPN155173227 | ||
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 512.74 | ||
| 100 | 1 | |a Gouvêa, Fernando Quadros, |d 1957- | |
| 245 | 1 | 0 | |a Arithmetic of p-adic Modular Forms |c Fernando Quadros Gouvêa. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1304 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Contents: p-adic Modular Forms: Level Structures and Trivializations. p-adic Modular Forms with Growth Conditions. Generalized p-adic Modular Functions -- Hecke and U Operators: Hecke Operators. The Frobenius Operator. The U Operator. Appendix: Hida's Theory of the Ordinary Part -- Galois Representations: Duality Theorems. Families of Modular Forms. Changing the Level. Deformations of Residual Eigenforms. Deformations of Galois Representations. The Modular Deformation Space. Further Questions. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject. | ||
| 650 | |a Formes modulaires | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Analyse p-adique | ||
| 776 | 0 | |0 020739362 |t Arithmetic of p-adic modular forms |f Fernando Q. Gouvêa |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (VIII-121 pages) |s Lecture notes in mathematics |z 3-540-18946-7 | |
| 776 | 0 | |t Arithmetic of p-adic Modular Forms |b Texte imprimé |z 9783662193846 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0082111 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-W9LR2ZJ9-T |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750674237 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0082111 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754022757 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0082111 |z Accès INSA CVL | |
| 997 | |0 969425 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||