AbstractLet K be a number field and A an abelian variety over K. The K-rational points of A are known to constitute a finitely generated abelian group (Mordell-Weil theorem). The problem studied in this paper is to find an explicit upper bound for the rank r of its free part in terms of other invariants of A/K. This is achieved by a close inspection of the classical proof of the so-called ‘weak Mordell-Weil theorem’
We compare general inequalities between invariants of number fields and invariants of abelian variet...
The first important result on elliptic curves E over number fields K is the theorem of the title. It...
Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all ...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
AbstractLet K be a number field and A an abelian variety over K. The K-rational points of A are know...
We consider a family of abelian varieties over a number field $K$ , i.e. a variety $X$ with a map to...
Abstract. Let A be an abelian variety defined over a number field K. It is proved that for the compo...
We introduce the notion of height for the points on an elliptic curve, an abelian variety of genus 1...
A close relation between the endomorphism ring of a certain abelian variety and the Mordell-Weil gro...
AbstractA structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists...
We compare general inequalities between invariants of number fields and invariants of abelian variet...
The first important result on elliptic curves E over number fields K is the theorem of the title. It...
Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all ...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
Let K be a number field and A an abelian variety over K. The K-rational points of A are known to con...
AbstractLet K be a number field and A an abelian variety over K. The K-rational points of A are know...
We consider a family of abelian varieties over a number field $K$ , i.e. a variety $X$ with a map to...
Abstract. Let A be an abelian variety defined over a number field K. It is proved that for the compo...
We introduce the notion of height for the points on an elliptic curve, an abelian variety of genus 1...
A close relation between the endomorphism ring of a certain abelian variety and the Mordell-Weil gro...
AbstractA structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists...
We compare general inequalities between invariants of number fields and invariants of abelian variet...
The first important result on elliptic curves E over number fields K is the theorem of the title. It...
Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all ...
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