• Corpus ID: 248119125

Torsion phenomena for zero-cycles on a product of curves over a number field

  title={Torsion phenomena for zero-cycles on a product of curves over a number field},
  author={Evangelia Gazaki and Jonathan Love},
. For a smooth projective variety X over a number field k a conjecture of Bloch and Beilinson predicts that the kernel of the Albanese map of X is a torsion group. In this article we consider a product X = C 1 ×· · ·× C d of smooth projective curves and show that if the conjecture is true for any subproduct of two curves, then it is true for X . Additionally, we produce many new examples of non-isogenous elliptic curves E 1 , E 2 with positive rank over Q for which the image of the natural map E… 

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