Author:
Joseph H. Silverman

ISBN 13:
9780387943282

ISBN 10:
387943285

Edition:
N/A

Publisher:
Springer

Publication Date:
1999-09-24

Format:
Paperback

Pages:
528

List Price:
$59.95

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.