Effective André–Oort for non-compact curves in Hilbert modular varieties

In the proofs of most cases of the André–Oort conjecture, there are two different steps whose effectivity is unclear: the use of generalizations of Brauer–Siegel and the use of Pila–Wilkie. Only the case of curves in $\mathbb{C}^2$ is currently known effectively (by other methods).We give an effecti...

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Bibliographic Details
Main Authors: Binyamini, Gal, Masser, David
Format: Article
Language:English
Published: Académie des sciences 2021-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.177/