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arXiv:math/0311306math.NT

Conics - a Poor Man's Elliptic Curves

Franz Lemmermeyer

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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.

arXiv comments
11 pages
Journal reference
DOI
Subjects
math.NTNumber Theory math.HOHistory and Overview

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  1. The animated elliptic curve 1 comment

    • If elliptic curves seem tricky, you can follow the same idea with conics https://arxiv.org/pdf/math/0311306.pdf https://www.researchgate.net/profile/Shailesh-Shirali/public...

      jacobolusView on HNParent context

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