Non-dense sets of subvarieties in a power of an elliptic curve

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230562Let V be an algebraic variety embedded in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of V which are of bounded height and which satisfy certain algebraic conditions are a non-dense subset of V. This result has implications in the context of the Pink-Zilber Conjecture and Mordel-Lang plus Bogomolov Theorem.34 pagesNumber Theory11J95, 14K12, 11G50, 11D45Non-dense sets of subvarieties in a power of an elliptic curvetext