Irreducibility and embedding problems

Details Irreducibility and embedding problems Irreducibility and embedding problems

2010-09-22

arxiv.org/abs/1009.4376v1

Mathematics

Number Theory

Scientific paper

We study irreducible specializations, in particular when group-preserving
specializations may not exist. We obtain a criterion in terms of embedding
problems. We include several applications to analogs of Schinzel's hypothesis H
and to the theory of Hilbertian fields.

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