ENGLISH

Arithmetic of p-adic Modular Forms

By Fernando Quadros Gouvêa (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
ISBN
3540189467, 9783540189466, 0387189467
DOI
10.1007/BFb0082111
LCC
QA3 .L28 no. 1304,QA243 .L28 no. 1304
Open Library ID
OL2110689M
Language
english
Format
DJVU
Filesize
864 kB (885060 bytes)
Series
Lecture Notes in Mathematics 1304
Edition
1
Pages
122\131
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Number Theory; Algebraic Geometry

Description

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.

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