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Reduction and specialization of polynomials

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Publication:2787080
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DOI10.4064/aa8176-12-2015zbMath1346.12001OpenAlexW2375495139MaRDI QIDQ2787080

Pierre Dèbes

Publication date: 24 February 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8176-12-2015


zbMATH Keywords

reductionpolynomialsspecializationHilbert irreducibility theoremBertini-Noether theoremGrothendieck good reduction criterion


Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Hilbertian fields; Hilbert's irreducibility theorem (12E25)


Related Items (3)

Families of polynomials and their specializations ⋮ Groups with no parametric Galois realizations ⋮ Apollonius circles and irreducibility criteria for polynomials



Cites Work

  • Unnamed Item
  • Galois covers and the Hilbert-Grunwald property
  • Bounds for Hilbert's irreducibility theorem
  • A bound for the least prime ideal in the Chebotarev density theorem


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