On the characterization of Hilbertian fields

Details On the characterization of Hilbertian fields On the characterization of Hilbertian fields

2008-03-04

arxiv.org/abs/0803.0451v2

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn089

Mathematics

Number Theory

(v2) contains a new application of the main result

Scientific paper

10.1093/imrn/rnn089

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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