The André-Oort conjecture


In this paper we prove, assuming the Generalized Riemann Hypothesis, the André-Oort conjecture on the Zariski closure of sets of special points in a Shimura variety. In the case of sets of special points satisfying an additional assumption, we prove the conjecture without assuming the GRH.


Bruno Klingler

Institut de Mathématiques de Jussieu, Paris, France

Current address:

Department of Mathematics, Humboldt-Universität zu Berlin, Berlin, Germany Andrei Yafaev

University College London, London, UK