The André-Oort conjecture

Bruno Klingler; Andrei Yafaev

doi:https://doi.org/10.4007/annals.2014.180.3.2

Pages 867-925 from Volume 180 (2014), Issue 3 by Bruno Klingler, Andrei Yafaev

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.

Milestones

Received: 16 August 2006
Revised: 27 September 2013
Accepted: 1 October 2013
Published online: 1 November 2014

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