Synopsis
In the first volume of The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel's theorem on the finiteness of the set of integral points. This second volume continues the study of elliptic curves by presenting six important, somewhat more specialized topics: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. N ron models, Kodaira-N ron classification of special fibres, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. N ron's theory of canonical local height functions.
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Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics). Joseph H. Silverman
Edité par
Springer Berlin, 1994
ISBN 10 : 3540943285
ISBN 13 : 9783540943280
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Broschur, 8°
Vendeur : ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, Allemagne
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Broschur, 8°. Etat : Wie neu. 538 S. Buch ist neu, aus priv. Vorbesitz, ungelesen. -----Inhalt:. In the first volume of The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel's theorem on the finiteness of the set of integral points. This second volume continues the study of elliptic curves by presenting six important, somewhat more specialized topics: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Néron models, Kodaira-N ron classification of special fibres, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Néron's theory of canonical local height functions. From the contents: Preface Introduction Elliptic and Modular Functions Complex Multiplication Elliptic Surfaces The Neron Model Elliptic Curves over Complete Fields Local Height Functions Appendix A: Some Useful Tables Notes on Exercises References List of Notation Index. ISBN: 9783540943280 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 740. N° de réf. du vendeur 669222
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