{"paper":{"title":"Approximation faible et principe de Hasse pour des espaces homog\\`enes \\`a stabilisateur fini r\\'esoluble (Weak Approximation and Hasse Principle for homogeneous spaces with finite solvable stabilizer)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Giancarlo Lucchini Arteche","submitted_at":"2013-04-29T11:50:12Z","abstract_excerpt":"Soit $K$ un corps global et $G$ un $K$-groupe fini r\\'esoluble. Sous certaines hypoth\\`eses sur une extension d\\'eployant $G$, on d\\'emontre que l'espace homog\\`ene $V:=G'/G$ avec $G'$ un $K$-groupe semi-simple simplement connexe v\\'erifie l'approximation faible. On utilise une version plus pr\\'ecise de ce r\\'esultat pour d\\'emontrer le principe de Hasse pour des espaces homog\\`enes $X$ sous un $K$-groupe $G'$ semi-simple simplement connexe \\`a stabilisateur g\\'eom\\'etrique $\\bar G$ fini et r\\'esoluble, sous certaines hypoth\\`eses sur le $K$-lien $(\\bar G,\\kappa)$ d\\'efini par $X$.\n  -----\n  L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7624","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}