Conics - a Poor Man's Elliptic Curves

Details Conics - a Poor Man's Elliptic Curves Conics - a Poor Man's Elliptic Curves

2003-11-18

arxiv.org/abs/math/0311306v1

Mathematics

Number Theory

11 pages

Scientific paper

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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