21 citations · 53 across the 19 of their papers we have counts for
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math.NT2009
On the reduction of points on abelian varieties and tori
Antonella Perucca
Let G be the product of an abelian variety and a torus defined over a number field K. Let R_1,..., R_n be points in G(K). Let l be a rational prime and let a_1,..., a_n be non-nega…
math.NT2009
A counterexample to the local-global principle of linear dependence for abelian varieties
Peter Jossen, Antonella Perucca
Let A be an abelian variety defined over a number field k. Let P be a point in A(k) and let X be a subgroup of A(k). Gajda in 2002 asked whether it is true that the point P belongs…
math.NT2009
The multilinear support problem for products of abelian varieties and tori
Antonella Perucca
Let G be the product of an abelian variety and a torus defined over a number field K. The aim of this paper is detecting the dependence among some given rational points of G by stu…