# Higher Heegner points on elliptic curves over function fields

@article{Breuer2003HigherHP, title={Higher Heegner points on elliptic curves over function fields}, author={Florian Breuer}, journal={Journal of Number Theory}, year={2003}, volume={104}, pages={315-326} }

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 ∞ -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.

#### 13 Citations

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Let F be a global field of characteristic p > 0, F/F a Galois extension with Gal(F/F ) ≃ Z l (for some prime l 6= p) and E/F a non-isotrivial elliptic curve. We study the behaviour of Selmer groups… Expand

The André-Oort conjecture for products of Drinfeld modular curves

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