Articles liés à Geometric Modular Forms and Elliptic Curves

Geometric Modular Forms and Elliptic Curves - Couverture rigide

Hida, Haruzo

 
9789810243371: Geometric Modular Forms and Elliptic Curves
Couverture rigide
ISBN 10 : 9810243375 ISBN 13 : 9789810243371
Editeur : World Scientific Publishing Co Pte Ltd, 2000

Synopsis

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

" ... this is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory."Mathematical Reviews-- "Geometric Modular Forms and Elliptic Curves is suited for both the (advanced and specialized) classroom and (well-prepared and highly motivated) reader bent of serious self-study. Beyond this, the book's prose is clear, there are examples and exercises available, and, as always, the serious student should have a go at them: he will reap wonderful benefits." --MAA Reviews

Présentation de l'éditeur

A comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's results in that directions.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2000
Langue
anglais
ISBN 10 
9810243375
ISBN 13 
9789810243371
Reliure
Relié
Nombre de pages
376
Coordonnées du fabricant
non disponible
Personne responsable
non disponible