Hilbertian fields and Galois representations
Number Theory
2013-11-26 v2 Group Theory
Abstract
We prove a new Hilbertianity criterion for fields in towers whose steps are Galois with Galois group either abelian or a product of finite simple groups. We then apply this criterion to fields arising from Galois representations. In particular we settle a conjecture of Jarden on abelian varieties.
Keywords
Cite
@article{arxiv.1203.4217,
title = {Hilbertian fields and Galois representations},
author = {Lior Bary-Soroker and Arno Fehm and Gabor Wiese},
journal= {arXiv preprint arXiv:1203.4217},
year = {2013}
}
Comments
18 pages, accepted for publication in Journal f\"ur die reine und angewandte Mathematik