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: Silverman, Joseph H.
Publication date: 1994
Publisher: Springer
Format: Paperback 541 pages
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Book details

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

Summary

Acknowledged authors Silverman, Joseph H. wrote Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics (151)) comprising 541 pages back in 1994. Textbook and eTextbook are published under ISBN 0387943285 and 9780387943282. Since then Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics (151)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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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