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math.NT2016
On the local-global divisibility over abelian varieties
Florence Gillibert, Gabriele Ranieri
Let be a prime number and let be a number field. Let be an abelian variety defined over . We prove that if ${\rm Gal} ( k ( {\mathcal{A}}[p] ) / k )…
math.NT2016
On the local-global divisibility of torsion points on elliptic curves and -type varieties
Florence Gillibert, Gabriele Ranieri
Let be a prime number and let be a number field. Let be an elliptic curve defined over . We prove that if is odd, then the local-global divisibility by any power…