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In the first volume of The Arithmetic of Elliptic Curves, we presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel’s theorem on the finiteness of the set of integral points. This second volume continues our study of elliptic curves by presenting six important, but somewhat more specialized, topics.
KeywordsElliptic Curve Elliptic Curf Generic Fiber Elliptic Surface Discrete Valuation Ring
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