Advanced Topics in the Arithmetic of Elliptic Curves: v. 151 (Graduate Texts in Mathematics) - Hardcover

Silverman, Joseph H.

Hardcover

ISBN 10: 3540943250 ISBN 13: 9783540943259

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Synopsis

In The Arithmetic of Elliptic Curves, the author presented 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 specialised topics: I. Elliptic and modular functions for the full modular group. Il. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialisation theorems. IV. Neron 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. Neron's theory of canonical local height functions.

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Review

..."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 fr Mathematik

.,."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

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1994
• Language: English
• ISBN 10: 3540943250
• ISBN 13: 9783540943259
• Binding: Hardcover
• Number of pages: 538