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A common generalization of the conjectures of Andr´ e-Oort, Manin-Mumford, and Mordell-Lang

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Likely intersections in powers of the multiplicative group

math.NT · 2025-06-09 · accept · novelty 8.0

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.

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  • Likely intersections in powers of the multiplicative group math.NT · 2025-06-09 · accept · none · ref 5366

    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.