Hilbertian fields and Galois representations

2012/03/19 by Bary-Soroker, Lior, Fehm, Arno, Wiese, Gabor · 1 citation
#11F80 #11G10 #12E25 #12E30 #14H52 #20E18 #20E22 #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1203.4217

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.

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• Hilbert properties of varieties

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