Abstract
Motivated by recent work of Masser and Zannier on simultaneous torsion on the Legendre elliptic curve of equation , we prove that, given linearly independent points on with coordinates in , there are at most finitely many complex numbers such that the points satisfy two independent relations on . This is a special case of conjectures about unlikely intersections on families of abelian varieties.
Citation
Fabrizio Barroero. Laura Capuano. "Linear relations in families of powers of elliptic curves." Algebra Number Theory 10 (1) 195 - 214, 2016. https://doi.org/10.2140/ant.2016.10.195
Information