AbstractLet 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 Zp∞-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 Cornut and Vatsal
We study the collection of group structures that can be realized as a group of rational points on a...
AbstractKolyvagin used Heegner points to associate a system of cohomology classes to an elliptic cur...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
Abstract. Let k be a global field, k a separable closure of k, and Gk the absolute Galois group Gal(...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
We study the algebraicity of Stark-Heegner points on a modular elliptic curve E . These objects are ...
AbstractBuilding on ideas of Vatsal [Uniform distribution of Heegner points, Invent. Math. 148(1) (2...
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
Given an elliptic curve E over a finite field F-q we study the finite extensions F(q)n of F-q such t...
Heegner points on both modular curves and elliptic curves over global fields of any characteristic f...
We produce explicit elliptic curves over Fp(t) whose Mordell-Weil groups have arbitrarily large rank...
In this paper, we consider a special case of Chow-Heegner points that has a simple concrete descript...
We study the collection of group structures that can be realized as a group of rational points on an...
Let A/Q be a modular abelian variety attached to a weight 2 new modular form of level N=pM, where p ...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
We study the collection of group structures that can be realized as a group of rational points on a...
AbstractKolyvagin used Heegner points to associate a system of cohomology classes to an elliptic cur...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
Abstract. Let k be a global field, k a separable closure of k, and Gk the absolute Galois group Gal(...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
We study the algebraicity of Stark-Heegner points on a modular elliptic curve E . These objects are ...
AbstractBuilding on ideas of Vatsal [Uniform distribution of Heegner points, Invent. Math. 148(1) (2...
AbstractLet ∞ be a fixed place of a global function field k. Let E be an elliptic curve defined over...
Given an elliptic curve E over a finite field F-q we study the finite extensions F(q)n of F-q such t...
Heegner points on both modular curves and elliptic curves over global fields of any characteristic f...
We produce explicit elliptic curves over Fp(t) whose Mordell-Weil groups have arbitrarily large rank...
In this paper, we consider a special case of Chow-Heegner points that has a simple concrete descript...
We study the collection of group structures that can be realized as a group of rational points on an...
Let A/Q be a modular abelian variety attached to a weight 2 new modular form of level N=pM, where p ...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
We study the collection of group structures that can be realized as a group of rational points on a...
AbstractKolyvagin used Heegner points to associate a system of cohomology classes to an elliptic cur...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
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