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Higher Heegner points on elliptic curves over function fields

Florian Breuer
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Abstract

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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Florian Breuer. 2003-09-22. Higher Heegner points on elliptic curves over function fields. https://arxiv.org/abs/math/0304216

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