Hilbertian fields and Galois representations

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Lior Bary-Soroker - , Tel Aviv University (Author)
  • Arno Fehm - , University of Konstanz (Author)
  • Gabor Wiese - , University of Luxembourg (Author)

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.

Details

Original languageEnglish
Pages (from-to)123-139
Number of pages17
Journal Journal für die reine und angewandte Mathematik : the world's oldest mathematical periodical
Volume712
Publication statusPublished - Mar 2016
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 84961832227

Keywords

Keywords

  • Abelian-varieties, Extensions, Rank