Geodesic
An effective result of André-Oort type
Lars Kühne1
1 Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
Annals of mathematics, Tome 176 (2012) no. 1, pp. 651-671.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Using transcendence theory we prove the André-Oort conjecture in case of the Shimura variety $\mathbb{A}_{\mathbb{C}}^{2}$. It is well known that this result implies the André-Oort conjecture for a product of two arbitrary modular curves. In contrast to all previous proofs we obtain a result that is at once effective and unconditional.
DOI : 10.4007/annals.2012.176.1.13

Lars Kühne 1

1 Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland 
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Lars Kühne. An effective result of André-Oort type. Annals of mathematics, Tome 176 (2012) no. 1, pp. 651-671. doi : 10.4007/annals.2012.176.1.13. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.1.13/

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