Conics - a Poor Man's Elliptic Curves
Number Theory
2007-05-23 v1 History and Overview
Abstract
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.
Keywords
Cite
@article{arxiv.math/0311306,
title = {Conics - a Poor Man's Elliptic Curves},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:math/0311306},
year = {2007}
}
Comments
11 pages