Reference : Hilbertian fields and Galois representations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/13140
Hilbertian fields and Galois representations
English
Bary-Soroker, Lior [> >]
Fehm, Arno [> >]
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
Journal für die Reine und Angewandte Mathematik
Walter de Gruyter
712
123-139
Yes (verified by ORBilu)
International
0075-4102
1435-5345
Berlin
Germany
[en] Mathematics - Number Theory ; Mathematics - Group Theory ; 12E25 ; 12E30 ; 20E18 ; 20E22 ; 11F80 ; 14H52 ; 11G10
[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.
http://hdl.handle.net/10993/13140

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