Items related to Advanced Topics in the Arithmetic of Elliptic Curves
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
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2011
- ISBN 10 1461208521
- ISBN 13 9781461208525
- BindingPaperback
- LanguageEnglish
- Number of pages548
- Rating
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