Hilbertian fields and Galois representations

Lior Bary-Soroker; Arno Fehm; Gabor Wiese

doi:10.1515/crelle-2013-0116

Hilbertian fields and Galois representations

Lior Bary-Soroker, Arno Fehm, Gabor Wiese

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	123-139
Number of pages	17
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2016
Issue number	712
DOIs	https://doi.org/10.1515/crelle-2013-0116
State	Published - 1 Mar 2016

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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title = "Hilbertian fields and Galois representations",

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.",

author = "Lior Bary-Soroker and Arno Fehm and Gabor Wiese",

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AU - Bary-Soroker, Lior

AU - Fehm, Arno

AU - Wiese, Gabor

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N2 - 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.

AB - 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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U2 - 10.1515/crelle-2013-0116

DO - 10.1515/crelle-2013-0116

M3 - مقالة

SN - 0075-4102

VL - 2016

SP - 123

EP - 139

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 712

ER -

Hilbertian fields and Galois representations

Abstract

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