On the characterization of Hilbertian fields
Number Theory
2012-06-13 v3
Abstract
The main goal of this work is to answer a question of P. D`ebes and D. Haran by relaxing the condition for Hilbertianity. Namely we prove that for a field K to be Hilbertian it suffices that K has the irreducible specialization property merely for absolutely irreducible polynomials.
Keywords
Cite
@article{arxiv.0803.0451,
title = {On the characterization of Hilbertian fields},
author = {Lior Bary-Soroker},
journal= {arXiv preprint arXiv:0803.0451},
year = {2012}
}
Comments
(v2) contains a new application of the main result (v3) Changed the numbering of thms, lemmas, etc., to fit the published version