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math.NT2020
The Hilbert-Schinzel specialization property
Arnaud Bodin, Pierre Dèbes, Joachim König +1
We establish a version "over the ring" of the celebrated Hilbert Irreducibility Theorem. Given finitely many polynomials in variables, with coefficients in , of po…
math.NT2020
The local dimension of a finite group over a number field
Joachim König, Danny Neftin
Let be a finite group and a number field. We construct a -extension , with of transcendence degree over , that specializes to all -extensions of $K_\m…