{"paper":{"title":"Le principe de Hasse pour les espaces homog\\`enes : r\\'eduction au cas des stabilisateurs finis (The Hasse principle for homogeneous spaces: reduction to the case of finite stabilizers)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Cyril Demarche, Giancarlo Lucchini Arteche","submitted_at":"2017-04-27T16:34:53Z","abstract_excerpt":"Nous montrons, pour une grande famille de propri\\'et\\'es $P$ des espaces homog\\`enes, que $P$ vaut pour tout espace homog\\`ene d'un groupe lin\\'eaire connexe d\\`es qu'elle vaut pour les espaces homog\\`enes de $\\mathrm{SL}_n$ \\`a stabilisateur fini. Nous r\\'eduisons notamment \\`a ce cas particulier la v\\'erification d'une importante conjecture de Colliot-Th\\'el\\`ene sur l'obstruction de Brauer-Manin au principe de Hasse et \\`a l'approximation faible. Des travaux r\\'ecents de Harpaz et Wittenberg montrent que le r\\'esultat principal s'applique \\'egalement \\`a la conjecture analogue (dite conject"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08646","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"}