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