Download E-books Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) PDF

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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