9780387943282-0387943285-Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151)

Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151)

ISBN-13: 9780387943282
ISBN-10: 0387943285
Author: Joseph H Silverman
Publication date: 1994
Publisher: Springer
Format: Paperback 541 pages
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Book details

ISBN-13: 9780387943282
ISBN-10: 0387943285
Author: Joseph H Silverman
Publication date: 1994
Publisher: Springer
Format: Paperback 541 pages

Summary

Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151) (ISBN-13: 9780387943282 and ISBN-10: 0387943285), written by authors Joseph H Silverman, was published by Springer in 1994. With an overall rating of 3.7 stars, it's a notable title among other Geometry & Topology (Mathematics) books. You can easily purchase or rent Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151) (Paperback) from BooksRun, along with many other new and used Geometry & Topology books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.83.

Description

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.

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