English

Irreducibility and embedding problems

Number Theory 2010-09-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1009.4376,
  title  = {Irreducibility and embedding problems},
  author = {Lior Bary-Soroker},
  journal= {arXiv preprint arXiv:1009.4376},
  year   = {2010}
}
R2 v1 2026-06-21T16:17:36.673Z