Galois orbits and equidistribution: towards the Andre-Oort conjecture
Number Theory
2013-09-12 v2
Abstract
In this paper we develop a strategy and some technical tools for proving the Andre-Oort conjecture. We give lower bounds for the degrees of Galois orbits of geometric components of special subvarieties of Shimura varieties, assuming the Generalised Riemann Hypothesis. We proceed to show that sequences of special subvarieties whose Galois orbits have bounded degrees are equidistributed in a suitable sense.
Keywords
Cite
@article{arxiv.1209.0934,
title = {Galois orbits and equidistribution: towards the Andre-Oort conjecture},
author = {Emmanuel Ullmo and Andrei Yafaev},
journal= {arXiv preprint arXiv:1209.0934},
year = {2013}
}
Comments
Submitted to Annals of Mathematics, Version of September 2013