Mathematics - Number Theory; Mathematics - Group Theory; 12E25; 12E30; 20E18; 20E22; 11F80; 14H52; 11G10
Résumé :
[en] 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
Bary-Soroker, Lior
Fehm, Arno
WIESE, Gabor ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
