Advanced Topics in the Arithmetic of Elliptic Curves

Joseph H. Silverman

ISBN 10: 0387943285 / ISBN 13: 9780387943282

Published by Springer, 1994

New Book. Shipped from UK. Established seller since 2000. Seller Inventory # GB-9780387943282

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

Bibliographic Details

Title: Advanced Topics in the Arithmetic of ...
Publisher: Springer
Publication Date: 1994
Binding: PAP
Condition: New