Advanced Topics in the Arithmetic of Elliptic Curves
ISBN: 0387943285
EAN13: 9780387943282
Language: English
Publication Date: Sep 24, 1999
Pages: 528
Dimensions: 1.24" H x 9.25" L x 6.1" W
Weight: 2.09 lbs.
Format: Paperback
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Book Overview

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. I. Elliptic curves with complex multiplication. I. 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.

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Graduate Texts in Mathematics Series In Order - By Joseph H Silverman

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