{"paper":{"title":"Repr\\'esentations galoisiennes di\\'edrales et formes \\`a multiplication complexe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Filippo A. E. Nuccio, Nicolas Billerey","submitted_at":"2016-11-22T01:19:35Z","abstract_excerpt":"Pour une repr\\'esentation galoisienne di\\'edrale en caract\\'eristique l on \\'etablit (sous certaines hypoth\\`eses) l'existence d'une newform \\`a multiplication complexe, dont on contr\\^ole le poids, le niveau et le caract\\`ere, telle que la repr\\'esentation l-adique associ\\'ee est congrue modulo l \\`a celle de d\\'epart.\n  Given a dihedral Galois representation in characteristic l, we establish (under some assumption) the existence of a CM newform, whose weight, level and Nebentypus we pin down, such that its l-adic representation is congruent modulo l to the one we started with."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07118","kind":"arxiv","version":5},"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"}