Integral specialization of families of rational functions

DOI10.2140/pjm.1999.190.45zbMath1016.12002OpenAlexW1975114343MaRDI QIDQ1568865

Pierre Dèbes, Michael D. Fried

Publication date: 22 June 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.190.45

zbMATH Keywords

rational functionsSiegel's theoremexceptional polynomialsHurwitz spacesHilbert's irreducibility theorembraid action on coversSiegel familyunirationality criterion

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (7)

Finiteness results for Hilbert's irreducibility theorem ⋮ Specializations of one-parameter families of polynomials ⋮ Extensions of absolute values on two subfields ⋮ Variation of local systems and parabolic cohomology ⋮ A GAP Package for Braid Orbit Computation and Applications ⋮ Kähler geometry on Hurwitz spaces ⋮ Hilbert's irreducibility theorem for prime degree and general polynomials

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