AbstractLet A be a three-dimensional abelian variety defined over a number field K, and let ℓ∈{3,5}. We classify the images of the mod ℓ representations of those three-dimensional abelian varieties which possess an ℓ-torsion point modulo p for almost all primes p of K, but for which there does not exist a K-isogenous A′ with a rational point of order ℓ
Let A be an absolutely simple abelian variety without (potential) complex multiplication, defined ov...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian v...
AbstractLet A be a three-dimensional abelian variety defined over a number field K, and let ℓ∈{3,5}....
AbstractLet K be a number field and let ℓ>5 be a prime. We classify abelian threefolds A defined ove...
AbstractLet A be an abelian variety over a number field K. If P and Q are K-rational points of A suc...
AbstractIf A/K is an abelian variety over a number field and P and Q are rational points, the origin...
We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic ext...
AbstractIn this paper we consider orders of images of nontorsion points by reduction maps for 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...
Abstract.: Consider a point of infinite order on an abelian variety over a number field. Then its re...
We construct infinitely many abelian surfaces $A$ defined over the rational numbers such that, for $...
AbstractLet A be a two-dimensional abelian variety of CM-type defined over Q, which is not simple ov...
This thesis consists of four research papers stapled together. In this work, we study moduli spaces ...
Let K be a number field and A be a g-dimensional abelian variety over K. For every prime ℓ, the ℓ-ad...
Let A be an absolutely simple abelian variety without (potential) complex multiplication, defined ov...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian v...
AbstractLet A be a three-dimensional abelian variety defined over a number field K, and let ℓ∈{3,5}....
AbstractLet K be a number field and let ℓ>5 be a prime. We classify abelian threefolds A defined ove...
AbstractLet A be an abelian variety over a number field K. If P and Q are K-rational points of A suc...
AbstractIf A/K is an abelian variety over a number field and P and Q are rational points, the origin...
We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic ext...
AbstractIn this paper we consider orders of images of nontorsion points by reduction maps for 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...
Abstract.: Consider a point of infinite order on an abelian variety over a number field. Then its re...
We construct infinitely many abelian surfaces $A$ defined over the rational numbers such that, for $...
AbstractLet A be a two-dimensional abelian variety of CM-type defined over Q, which is not simple ov...
This thesis consists of four research papers stapled together. In this work, we study moduli spaces ...
Let K be a number field and A be a g-dimensional abelian variety over K. For every prime ℓ, the ℓ-ad...
Let A be an absolutely simple abelian variety without (potential) complex multiplication, defined ov...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian v...
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