The Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H Silverman

The Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H Silverman

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The Advanced Topics in the Arithmetic of Elliptic Curves

The Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H Silverman

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. I. Elliptic curves with complex multiplication. I. 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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ISBN 13
Title The Advanced Topics in the Arithmetic of Elliptic Curves
Author Joseph H Silverman
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Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

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