Arithmetic Theory Of Elliptic Curves

Arithmetic Theory Of Elliptic Curves

The principle of elliptic curves is distinguished via its long records and with the aid of the diversity of the strategies which have been utilized in its study. This ebook treats the arithmetic method in its modern components, thru using primary algebraic quantity principle and algebraic geometry. Following a quick discussion of the essential algebro-geometric outcomes, the e-book proceeds with an exposition of the geometry and the formal organization of elliptic curves, elliptic curves over finite fields, the complex numbers, nearby fields, and worldwide fields. final chapters address quintessential and rational factors, along with Siegel’s theorem and explicit computations for the curve Y = X + DX, whilst three appendices finish the whole: Elliptic Curves in characteristics 2 and 3, organization Cohomology, and a top-level view of more superior subjects.

Author: reza rahardian

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