(FB2) Advanced Topics in the Arithmetic of Elliptic Curves · 9780387943282

[Lisa Mai]

Advanced Topics in the Arithmetic of Elliptic Curves
(Graduate Texts in Mathematics, #151)
by Joseph H. Silverman

Advanced Topics in the Arithmetic of Elliptic Curves – CLICK HERE

• Release date: September 24, 1999
• Genres: mathematics
• Author: Joseph H. Silverman
• Format: paperback, 528 pages
• Series: Graduate Texts in Mathematics, #151
• Language: english
• Publisher: Springer
• ISBN: 9780387943282 (0387943285)

About The Book

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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