Galois covers and the Hilbert-Grunwald property

DOI10.5802/aif.2714zbMath1255.14022OpenAlexW2507888222MaRDI QIDQ714921

Nour Ghazi, Pierre Dèbes

Publication date: 12 October 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2012__62_3_989_0/

zbMATH Keywords

inverse Galois theoryHurwitz spacesalgebraic coversGrunwald's problem

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items

Minimal fields of definition for Galois action ⋮ Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Specialization results and ramification conditions ⋮ The local dimension of a finite group over a number field ⋮ Tchebotarev theorems for function fields ⋮ The Grunwald problem and approximation properties for homogeneous spaces ⋮ Hilbert irreducibility, the Malle conjecture and the Grunwald problem ⋮ Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ Explicit Galois realizations of certain families of \(2\)-groups ⋮ On Galois extensions with prescribed decomposition groups ⋮ A note on Galois groups and local degrees ⋮ Groups with no parametric Galois realizations ⋮ On the Malle conjecture and the self-twisted cover ⋮ Reduction and specialization of polynomials ⋮ Pre-Galois theory ⋮ DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS ⋮ Galois families of modular forms and application to weight one ⋮ On the Northcott property and local degrees ⋮ Specialization results in Galois theory ⋮ The Grunwald problem and specialization of families of regular Galois extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounds for Hilbert's irreducibility theorem
• On solvable number fields
• La conjecture de Weil. II
• Generic Galois extensions and problems in field theory
• Quelques applications du théorème de densité de Chebotarev
• The inverse Galois problem and rational points on moduli spaces
• On Hilbert's irreducibility theorem
• A bound for the least prime ideal in the Chebotarev density theorem
• La conjecture de Weil. I
• Embedding problems over large fields
• Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
• Groupes de Picard et problèmes de Skolem. II
• Algebraic covers: Field of moduli versus field of definition
• Descent varieties for algebraic covers
• HARBATER–MUMFORD COMPONENTS AND TOWERS OF MODULI SPACES
• On extensions of number fields obtained by specializing branched coverings.
• Zum Hilbertschen Irreduzibilitätssatz