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arXiv:1203.4217 [math.NT]AbstractReferencesReviewsResources

Hilbertian fields and Galois representations

Lior Bary-Soroker, Arno Fehm, Gabor Wiese

Published 2012-03-19, updated 2013-11-25Version 2

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.

Comments: 18 pages, accepted for publication in Journal f\"ur die reine und angewandte Mathematik
Categories: math.NT, math.GR
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