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arXiv 2003-11-18 1 views

Conics - a Poor Man's Elliptic Curves

Lemmermeyer, Franz

Original · EN

The aim of this article is to show that the arithmetic of Pell conics admits a description which is completely analogous to that of elliptic curves: there is a theory of 2-descent with associated Selmer and Tate-Shafarevich groups, and there should be an analog of the conjecture of Birch and Swinnerton-Dyer.

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