Inner Galois Equidistribution in S-Hecke orbits
Algebraic Geometry
2017-11-09 v1
Abstract
We obtain results on the so-called Andre-Pink-Zannier conjecture which is a special case of a the Zilber-Pink conjecture on unlikely intersections in Shimura varieties. Our methods rely on an ergodic theorem of Richard-Zamojski and we are able to obtain stronger conclusions that those of the Andre-Pink-Zannier conjecture in the special case we consider. We work under the assumption of the S-Shafarevich conjecture and S-semisimplicity conjecture which hold for Shimura varieties of abelian type.
Keywords
Cite
@article{arxiv.1711.03009,
title = {Inner Galois Equidistribution in S-Hecke orbits},
author = {Rodolphe Richard and Andrei Yafaev},
journal= {arXiv preprint arXiv:1711.03009},
year = {2017}
}