Hilbert irreducibility, the Malle conjecture and the Grunwald problem

DOI10.5802/aif.3567zbMath1529.12003OpenAlexW4385290892WikidataQ122977325 ScholiaQ122977325MaRDI QIDQ6073550

François Motte

Publication date: 11 October 2023

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

Full work available at URL: https://doi.org/10.5802/aif.3567

zbMATH Keywords

Galois extensionsinverse Galois theoryspecializationDiophantine geometryMalle conjecturealgebraic coversGrunwald problem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Inverse Galois theory (12F12) Distribution of prime ideals (11R44) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Cites Work

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• Specialization results and ramification conditions
• Counting algebraic integers of fixed degree and bounded height
• On the Malle conjecture and the self-twisted cover
• Galois covers and the Hilbert-Grunwald property
• On solvable number fields
• Generic Galois extensions and problems in field theory
• On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• The Grunwald problem and approximation properties for homogeneous spaces
• Counting number fields in fibers (with an appendix by Jean Gillibert)
• Hilbert subsets and \(s\)-integral points
• The number of integral points on arcs and ovals
• Asymptotics of number fields and the Cohen-Lenstra heuristics
• A counter-example to Grunwald's theorem
• Explicit uniform estimation of rational points II. Hypersurface coverings
• Zéro-cycles sur les espaces homogènes et problème de Galois inverse
• Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
• Distribution of Discriminants of Abelian Extensions
• Heights in number fields
• Groups with no parametric Galois realizations
• Théorème d'irréductibilité de Hilbert effectif
• The least admissible value of the parameter in Hilbert's Irreducibility Theorem
• A note on a paper by R. Heath-Brown: The density of rational points on curves and surfaces
• Counting nilpotent Galois extensions
• On the Distribution of Galois Groups, II
• Transcendental Numbers
• Number of Points of Varieties in Finite Fields
• On the distribution of Galois groups

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