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Item Details
Title: ADVANCED TOPICS IN THE ARITHMETIC OF ELLIPTIC CURVES
By: Joseph H. Silverman
Format: Paperback

List price: £54.99
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ISBN 10: 0387943285
ISBN 13: 9780387943282
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Stock: Currently 2 available
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 September, 1999
Edition: Softcover reprint of the original 1st ed. 1994
Series: Graduate Texts in Mathematics 151
Pages: 528
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."
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.
Illustrations: XIII, 528 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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