4.5 Article

Hilbertian fields and Galois representations

Journal

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Volume 712, Issue -, Pages 123-139

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/crelle-2013-0116

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Funding

  1. Lion Foundation Konstanz
  2. von Humboldt Foundation
  3. GIF, the German-Israeli Foundation for Scientific Research and Development
  4. Deutsche Forschungsgemeinschaft [Priority Program 1489]

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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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