scientific article; zbMATH DE number 1417295
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Publication:4944046
zbMath0954.12002MaRDI QIDQ4944046
Publication date: 7 May 2000
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1999_4_28_2_273_0
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inverse Galois theoryHilbertian fieldscoveringspseudo-algebraically closed fieldBeckmann-Black problem
Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Hilbertian fields; Hilbert's irreducibility theorem (12E25)
Related Items (18)
Minimal fields of definition for Galois action ⋮ Specialization results and ramification conditions ⋮ Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization ⋮ The local dimension of a finite group over a number field ⋮ On a variant of the Beckmann–Black problem ⋮ Tchebotarev theorems for function fields ⋮ Non-parametric sets of regular realizations over number fields ⋮ Embeddings of function fields into ample fields ⋮ Parametric Galois extensions ⋮ Groups with no parametric Galois realizations ⋮ Galois covers and the Hilbert-Grunwald property ⋮ On parametric and generic polynomials with one parameter ⋮ On pseudo algebraically closed extensions of fields ⋮ Pre-Galois theory ⋮ DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS ⋮ Inverse Galois problem over the skew field of rational fractions with central indeterminate ⋮ On finite embedding problems with abelian kernels ⋮ Specialization results in Galois theory
Cites Work
- Generic Galois extensions and problems in field theory
- The embedding problem over a Hilbertian PAC-field
- Arithmetic lifting of dihedral extensions
- Density results for Hilbert subsets
- Nonrigid constructions in Galois theory
- Is every extension of \(\mathbb{Q}\) the specialization of a branched covering?
- Bounds for the torsion of elliptic curves over number fields
- Embedding problems over large fields
- Deformations of dihedral 2-group extensions of fields
- Almost hilbertian fields
- Algebraic covers: Field of moduli versus field of definition
- On Semidirect Products and the Arithmetic Lifting Property
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