The Grunwald problem and approximation properties for homogeneous spaces

DOI10.5802/aif.3104zbMath1441.11283arXiv1512.06308OpenAlexW2336100978MaRDI QIDQ1687889

Cyril Demarche, Giancarlo Lucchini Arteche, Danny Neftin

Publication date: 4 January 2018

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

Full work available at URL: https://arxiv.org/abs/1512.06308

zbMATH Keywords

homogeneous spacesGalois cohomologyweak approximationBrauer-Manin obstructionGrunwald problem

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Rational points (14G05) Galois cohomology of linear algebraic groups (11E72) Galois cohomology (11R34)

Related Items (15)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Bad places for the approximation property for finite groups ⋮ The local dimension of a finite group over a number field ⋮ Brauer–Manin obstruction to the local–global principle for the embedding problem ⋮ Hilbert irreducibility, the Malle conjecture and the Grunwald problem ⋮ Some aspects of rational points and rational curves ⋮ Non-parametric sets of regular realizations over number fields ⋮ Supersolvable descent for rational points ⋮ The Massey vanishing conjecture for number fields ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ A note on Galois groups and local degrees ⋮ On the Malle conjecture and the self-twisted cover ⋮ Harmonic analysis and statistics of the first Galois cohomology group ⋮ DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS ⋮ The unramified Brauer group of homogeneous spaces with finite stabilizer

Cites Work

• Unramified Brauer group of homogeneous spaces with finite stabilizer
• Weak approximation property and Hasse principle fo homogeneous spaces with finite solvable stabilizer
• Galois covers and the Hilbert-Grunwald property
• On solvable number fields
• Generic Galois extensions and problems in field theory
• Non-ramified Brauer group of homogeneous spaces with finite stabilisers
• Unramified Brauer group of homogeneous spaces of tori
• On Grunwald's theorem
• Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
• Ein allgemeines Existenztheorem für algebraische Zahlkörper.
• La structure des $p$-groupes de Sylow des groupes symétriques finis
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Grunwald problem and approximation properties for homogeneous spaces