# Linear Equations in Singular Moduli

Bilu, Yuri and Kühne, Lars. (2020) Linear Equations in Singular Moduli. International Mathematics Research Notices, 2020 (21). pp. 7617-7643.

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Official URL: https://edoc.unibas.ch/69168/

We establish an effective version of the André-Oort conjecture for linear subspaces of $Y(1)^n_mathbb{C} approx mathbb{A}_mathbb{C}^n$. This gives the first effective nontrivial results of André–Oort type for higherdimensional varieties in products of modular curves.