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arxiv: 1009.4376 · v1 · pith:V6CXNCHYnew · submitted 2010-09-22 · 🧮 math.NT

Irreducibility and embedding problems

classification 🧮 math.NT
keywords embeddingproblemsspecializationsanalogsapplicationscriterionexistfields
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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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