Irreducibility and embedding problems
Copyright policy )Irreducibility and embedding problems
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.
- Hebrew University of Jerusalem Israel
- University of Duisburg-Essen Germany
12E30, 12E25, Algebra and Number Theory, Mathematics - Number Theory, Field arithmetic, Embedding problems, Hilbertian fields; Hilbert's irreducibility theorem, pseudo algebraically closed extensions, Mathematik, FOS: Mathematics, Pseudo algebraically closed extensions, irreducible specializations, Number Theory (math.NT), embedding problems, Irreducible specializations
12E30, 12E25, Algebra and Number Theory, Mathematics - Number Theory, Field arithmetic, Embedding problems, Hilbertian fields; Hilbert's irreducibility theorem, pseudo algebraically closed extensions, Mathematik, FOS: Mathematics, Pseudo algebraically closed extensions, irreducible specializations, Number Theory (math.NT), embedding problems, Irreducible specializations
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