By Joseph H. Silverman
Within the creation to the 1st quantity of The mathematics of Elliptic Curves (Springer-Verlag, 1986), I saw that "the idea of elliptic curves is wealthy, diverse, and amazingly vast," and consequently, "many very important themes needed to be omitted." I incorporated a short advent to 10 extra issues as an appendix to the 1st quantity, with the tacit realizing that finally there can be a moment quantity containing the main points. you're now preserving that moment quantity. it became out that even these ten issues wouldn't healthy regrettably, right into a unmarried publication, so i used to be compelled to make a few offerings. the subsequent fabric is roofed during this e-book: I. Elliptic and modular capabilities for the total modular workforce. II. Elliptic curves with advanced multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron types, Kodaira-Neron class of unique fibers, Tate's set of rules, and Ogg's conductor-discriminant formulation. V. Tate's idea of q-curves over p-adic fields. VI. Neron's concept of canonical neighborhood peak features.
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