For a geometrically non-degenerate subvariety W of G_m^n, every translate of each sufficiently large subtorus meets W unless the subtorus lies in one of finitely many exceptional ones.
Exceptional isogenies between reductions of pairs of elliptic curves
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Likely intersections in powers of the multiplicative group
For a geometrically non-degenerate subvariety W of G_m^n, every translate of each sufficiently large subtorus meets W unless the subtorus lies in one of finitely many exceptional ones.