The Andre-Oort conjecture
arXiv:1209.0936
Abstract
In this paper we prove, assuming the Generalized Riemann Hypothesis, the Andr?e-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.
Submitted to Annals of Mathematics, Version of September 2013