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Synopsis
This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca Matemàtica (Bellaterra, Barcelona). The articles in this volume present the latest achievements in this extremely active field and will be of interest both to specialists and to students and researchers. Many contributions focus on generalizations of the Shimura-Taniyama conjecture to varieties such as elliptic Q-curves and Abelian varieties of GL_2-type. The book also includes several key articles in the subject that do not correspond to conference lectures.
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- PublisherBirkhäuser
- Publication date2004
- ISBN 10 3764365862
- ISBN 13 9783764365868
- BindingHardcover
- LanguageEnglish
- Number of pages297
- EditorCremona John, Lario Joan-Carles, Quer Jordi, Ribet Kenneth
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Modular Curves And Abelian Varieties
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Modular Curves and Abelian Varieties (Progress in Mathematics, 224)
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Modular Curves and Abelian Varieties
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Springer, Basel, Birkhäuser Basel, Birkhäuser Feb 2004, 2004
ISBN 10: 3764365862
ISBN 13: 9783764365868
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title 'Modular Curves and Abelian Varieties'. Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type). 289 pp. Englisch. Seller Inventory # 9783764365868
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Modular Curves and Abelian Varieties
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Modular Curves and Abelian Varieties
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title 'Modular Curves and Abelian Varieties'. Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type). Seller Inventory # 9783764365868
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Modular Curves and Abelian Varieties
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes recent contributions on modular curves and their Jacobians as well as such seminal works as Kenneth Ribet s article Abelian varieties over the rationals and modular forms , Elisabeth Pyle s 1995 dissertation on abelian varieties over the ration. Seller Inventory # 5279453
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Modular Curves and Abelian Varieties
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Modular Curves and Abelian Varieties
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