Unlikely intersections in products of families of elliptic curves and the multiplicative group

Let Eλ be the Legendre elliptic curve of equation Y 2 = X(X - 1)(X - λ). We recently proved that, given n linearly independent points P1(λ), ..., Pn(λ) on Eλ with coordinates in Q(λ), there are at most finitely many complex numbers λ0 such that the points P1(λ0), ..., Pn(λ0) satisfy two independent...

Full description

Bibliographic Details
Main Authors: Barroero, F, Capuano, L
Format: Journal article
Published: Oxford University Press 2017