About the mixed Andre-Oort conjecture: Reduction to a lower bound for the pure case

摘要

We prove that the mixed Andre-Oort conjecture holds for any mixed Shimura variety if a lower bound for the size of Galois orbits of special points in pure Shimura varieties exists. This generalizes the current results for mixed Shimura varieties of Abelian type. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. This is an open access article under the CC BY-NC-ND license