Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. SilvermanAdvanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman

Advanced Topics in the Arithmetic of Elliptic Curves

byJoseph H. Silverman

Paperback | September 24, 1999

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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.
Title:Advanced Topics in the Arithmetic of Elliptic CurvesFormat:PaperbackDimensions:538 pagesPublished:September 24, 1999Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387943285

ISBN - 13:9780387943282

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Editorial Reviews

.,."this book deserves to be as popular as its forerunner and a great many people will be looking forward to reading a third volume." - Monatshefte fA1/4r Mathematik