{"paper":{"title":"Le groupe de Brauer non ramifi\\'e sur un corps global de caract\\'eristique positive (The unramified Brauer group over a global field of positive characteristic)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Giancarlo Lucchini Arteche","submitted_at":"2013-03-21T10:34:23Z","abstract_excerpt":"En utilisant un th\\'eor\\`eme de Gabber sur les alt\\'erations, on d\\'emontre un r\\'esultat d\\'ecrivant la partie de torsion premi\\`ere \\`a $p$ du groupe de Brauer non ramifi\\'e d'une vari\\'et\\'e $V$ lisse et g\\'eom\\'etriquement int\\`egre sur un corps global de caract\\'eristique $p$ au moyen de l'\\'evaluation des \\'el\\'ements de $\\Br V$ sur ses points locaux.\n  Using a theorem of Gabber on alterations, we prove a result describing the prime-to-$p$ torsion part of the unramified Brauer group of a smooth and geometrically integral variety $V$ over a global field of characteristic $p$ by evaluating"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5221","kind":"arxiv","version":2},"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"}