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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.NT2007★ 11 cited
Two variants of the 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. Let P and Q be K-rational points on G. Suppose that for all but finitely many primes p of K th…