Add to ORKGWe give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian variety. The proof combines algebraic interpolation and a theorem of Serre on homotheties in the Galois representation associated to the torsion subgroup of an abelian variety
Let A be an abelian variety over a number field K, and let ℓ be a prime number. If A has a K-rationa...
26 pagesLet A be an abelian variety of dimension g defined over a number field K. We study the size ...
We address the question of how fast the available rational torsion on abelian varieties over ℚ incre...
We give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian v...
We present sharp bounds on the number of maximal torsion cosets in a subvariety of the complex algeb...
In this paper we are motivated by the following problem: Let A/K be an abelian variety defined over ...
A method of searching for large rational torsion on Abelian varieties is described. A few explicit a...
A method of searching for large rational torsion on Abelian varieties is described. A few explicit a...
A classical theorem by K. Ribet asserts that an abelian variety defined over the maximal cyclotomic ...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
Abstract. We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic s...
International audienceA consequence of the geometric torsion conjecture for abelian varieties over f...
AbstractWe obtain a lower bound for the normalised height of a non-torsion subvariety V of a C.M. ab...
AbstractWe prove: Let A be an abelian variety over a number field K. Then K has a finite Galois exte...
International audienceThe Torsion Anomalous Conjecture (TAC) states that a subvariety V of an abelia...
Let A be an abelian variety over a number field K, and let ℓ be a prime number. If A has a K-rationa...
26 pagesLet A be an abelian variety of dimension g defined over a number field K. We study the size ...
We address the question of how fast the available rational torsion on abelian varieties over ℚ incre...
We give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian v...
We present sharp bounds on the number of maximal torsion cosets in a subvariety of the complex algeb...
In this paper we are motivated by the following problem: Let A/K be an abelian variety defined over ...
A method of searching for large rational torsion on Abelian varieties is described. A few explicit a...
A method of searching for large rational torsion on Abelian varieties is described. A few explicit a...
A classical theorem by K. Ribet asserts that an abelian variety defined over the maximal cyclotomic ...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
Abstract. We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic s...
International audienceA consequence of the geometric torsion conjecture for abelian varieties over f...
AbstractWe obtain a lower bound for the normalised height of a non-torsion subvariety V of a C.M. ab...
AbstractWe prove: Let A be an abelian variety over a number field K. Then K has a finite Galois exte...
International audienceThe Torsion Anomalous Conjecture (TAC) states that a subvariety V of an abelia...
Let A be an abelian variety over a number field K, and let ℓ be a prime number. If A has a K-rationa...
26 pagesLet A be an abelian variety of dimension g defined over a number field K. We study the size ...
We address the question of how fast the available rational torsion on abelian varieties over ℚ incre...