Advanced topics in the arithmetic of elliptic curves. Joseph H. Silverman

Advanced topics in the arithmetic of elliptic curves



Download Advanced topics in the arithmetic of elliptic curves



Advanced topics in the arithmetic of elliptic curves Joseph H. Silverman ebook djvu
Publisher: Springer-Verlag
Language: English
Page: 268
ISBN: 0387943250, 9780387943251

In 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 book continues the study of elliptic curves by presenting six important, but 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.



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