Higher Heegner points on elliptic curves over function fields

Florian Breuer

Higher Heegner points on elliptic curves over function fields

数论 2007-05-23 v2

作者: Florian Breuer

摘要

Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E, defined over a $Z_p^{\infty}$ -tower of finite extensions of k, and show that these Heegner points generate a group of infinite rank. This is a function field analogue of a result of C.Cornut and V.Vatsal

关键词

elliptic curves rational points on curves field theory

引用

@article{arxiv.math/0304216,
  title  = {Higher Heegner points on elliptic curves over function fields},
  author = {Florian Breuer},
  journal= {arXiv preprint arXiv:math/0304216},
  year   = {2007}
}

备注

14 Pages, LaTeX; Minor changes made; To appear in Journal of Number Theory

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