Modular Zilber-Pink for geometrically generic varieties

Published 3 Sep 2025 in math.NT, math.AG, and math.LO | (2509.03160v1)

Abstract: We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $ \mathrm{Y}(1)^n$ for which no projection to any $\dim V + 2$ coordinates is defined over the algebraic numbers.

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