Linear Equations in Singular Moduli
Langue
en
Article de revue
Ce document a été publié dans
International Mathematics Research Notices. 2020, vol. 21, p. 7617-7643
Oxford University Press (OUP)
Résumé en anglais
We establish an effective version of the Andr\'e-Oort conjecture for linear subspaces of $Y(1)^n_{\mathbb{C}} \approx \mathbb{A}_{\mathbb{C}}^n$. Apart from the trivial examples provided by weakly special subvarieties, ...Lire la suite >
We establish an effective version of the Andr\'e-Oort conjecture for linear subspaces of $Y(1)^n_{\mathbb{C}} \approx \mathbb{A}_{\mathbb{C}}^n$. Apart from the trivial examples provided by weakly special subvarieties, this yields the first algebraic subvarieties in a Shimura variety of dimension $> 1$ whose CM-points can be (theoretically) determined.< Réduire
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