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arXiv · 0803.0451

On the characterization of Hilbertian fields

Lior Bary-Soroker
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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.

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Lior Bary-Soroker. 2012-06-12. On the characterization of Hilbertian fields. https://doi.org/10.1093/imrn%2Frnn089

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