AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian varieties over number fields and odd algebraic K-theory groups of number fields
AbstractWe prove: Let A be an abelian variety over a number field K. Then K has a finite Galois exte...
AbstractWe study the arithmetic aspects of the finite group of extensions of abelian varieties defin...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
AbstractIn this paper we consider orders of images of nontorsion points by reduction maps for abelia...
AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian v...
AbstractLet A be an abelian variety over a number field K. If P and Q are K-rational points of A suc...
AbstractLetFbe a number field, Supposex,y∈F* have the property that for alln∈Zand almost all prime i...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
Matematyki i Informatyki: Zakład Arytmetycznej Geometrii AlgebraicznejNiniejsza rozprawa jest poświę...
We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic ext...
AbstractIf A/K is an abelian variety over a number field and P and Q are rational points, the origin...
Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) a...
AbstractLet A be a three-dimensional abelian variety defined over a number field K, and let ℓ∈{3,5}....
AbstractWe consider the support problem of Erdös in the context of l-adic representations of the abs...
AbstractLet K be a number field, and take x ∈ K∗. It is an elementary fact that x is a root of unity...
AbstractWe prove: Let A be an abelian variety over a number field K. Then K has a finite Galois exte...
AbstractWe study the arithmetic aspects of the finite group of extensions of abelian varieties defin...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
AbstractIn this paper we consider orders of images of nontorsion points by reduction maps for abelia...
AbstractIn this paper we consider certain local–global principles for groups like S-units, abelian v...
AbstractLet A be an abelian variety over a number field K. If P and Q are K-rational points of A suc...
AbstractLetFbe a number field, Supposex,y∈F* have the property that for alln∈Zand almost all prime i...
AbstractWe show that the p-torsion in the Tate–Shafarevich group of any principally polarized abelia...
Matematyki i Informatyki: Zakład Arytmetycznej Geometrii AlgebraicznejNiniejsza rozprawa jest poświę...
We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic ext...
AbstractIf A/K is an abelian variety over a number field and P and Q are rational points, the origin...
Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) a...
AbstractLet A be a three-dimensional abelian variety defined over a number field K, and let ℓ∈{3,5}....
AbstractWe consider the support problem of Erdös in the context of l-adic representations of the abs...
AbstractLet K be a number field, and take x ∈ K∗. It is an elementary fact that x is a root of unity...
AbstractWe prove: Let A be an abelian variety over a number field K. Then K has a finite Galois exte...
AbstractWe study the arithmetic aspects of the finite group of extensions of abelian varieties defin...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...