The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173596Let C be an algebraic curve in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of C which satisfy certain conditions is a finite set. This result has implications with the Pink-Zilber Conjeture and the Mordel-Lang plus Bogomolov Theorem for curves.50 pagesNumber TheoryAlgebraic Geometry14K12, 11G50, 11D45The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curvetext