Geodesic
Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture
Emmanuel Ullmo1 ; Andrei Yafaev2
1 Université de Paris-Sud, Orsay Cedex, France
2 University College London, London, UK
Annals of mathematics, Tome 180 (2014) no. 3, pp. 823-865.

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

In this paper we develop a strategy and some technical tools for proving the André-Oort conjecture. We give lower bounds for the degrees of Galois orbits of geometric components of special subvarieties of Shimura varieties, assuming the Generalised Riemann Hypothesis. We proceed to show that sequences of special subvarieties whose Galois orbits have bounded degrees are equidistributed in a suitable sense.
DOI : 10.4007/annals.2014.180.3.1

Emmanuel Ullmo 1 ; Andrei Yafaev 2

1 Université de Paris-Sud, Orsay Cedex, France
2 University College London, London, UK 
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Emmanuel Ullmo; Andrei Yafaev. Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture. Annals of mathematics, Tome 180 (2014) no. 3, pp. 823-865. doi : 10.4007/annals.2014.180.3.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.3.1/

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