On the characterization of Hilbertian fields

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Abstract

The main goal of this work is to answer a question of Dèbes and 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.

Original languageEnglish
Article numberrnn089
JournalInternational Mathematics Research Notices
Volume2008
Issue number1
DOIs
StatePublished - 2008

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