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Conics - a Poor Man's Elliptic Curves

数论 2007-05-23 v1 历史与综述

摘要

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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引用

@article{arxiv.math/0311306,
  title  = {Conics - a Poor Man's Elliptic Curves},
  author = {Franz Lemmermeyer},
  journal= {arXiv preprint arXiv:math/0311306},
  year   = {2007}
}

备注

11 pages