Higher Heegner points on elliptic curves over function fields

Details Higher Heegner points on elliptic curves over function fields Higher Heegner points on elliptic curves over function fields

2003-04-16

arxiv.org/abs/math/0304216v2

Mathematics

Number Theory

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

Scientific paper

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

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