Hilbertian fields and Galois representations

Author:

Bary-Soroker Lior,Fehm Arno,Wiese Gabor

Abstract

AbstractWe 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.

Funder

Lion Foundation Konstanz

von Humboldt Foundation

German-Israeli Foundation for Scientific Research and Development

Deutsche Forschungsgemeinschaft

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Primitive recursive decidability for large rings of algebraic integers inside the compositum of all symmetric extensions of ℚ;Israel Journal of Mathematics;2023-11

2. Ramified covers of abelian varieties over torsion fields;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-11-01

3. Θ-Hilbertianity;Journal of Algebra;2020-08

4. Composita of symmetric extensions of Q;MUENSTER J MATH;2019

5. EXTENSIONS OF HILBERTIAN RINGS;Glasgow Mathematical Journal;2018-11-05

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