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arXiv · 2509.03160

Modular Zilber-Pink for geometrically generic varieties

Vahagn Aslanyan·Sebastian Eterović·Guy Fowler
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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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Vahagn Aslanyan, Sebastian Eterović, Guy Fowler. 2026-08-18. Modular Zilber-Pink for geometrically generic varieties. https://arxiv.org/abs/2509.03160

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