Advanced Topics in the Arithmetic of Elliptic Curves

Silverman, Joseph H.

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ISBN 10: 0387943285 ISBN 13: 9780387943282

Published by Springer, New York, 1999

Language: English

Condition: Used - Fine Soft cover

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23.5 x 15.5 cm. xiii 525pp. 17 illustrations, exercises, list of notation, references, index. Graduate Texts in Mathematics 151.

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Bibliographic Details

Title

Advanced Topics in the Arithmetic of Elliptic Curves

Publisher

Springer, New York

Publication Date

1999

Language

English

ISBN 10

0387943285

ISBN 13

9780387943282

Binding

Paperback

Edition

Corrected Second Printing.

Condition

Fine

Seller catalogs

Mathematics

About this title

Synopsis

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, 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.

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

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