The André-Oort conjecture

Abstract

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.

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Authors

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