{"id":"W1994048664","doi":"10.1112/plms/pds061","title":"Non-commutative Iwasawa theory for modular forms","year":2013,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Modular form; Iwasawa theory; Conjecture; Galois module; Galois group; Algebra over a field; Congruence (geometry); Character (mathematics); Extension (predicate logic)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008936317,0.0003080669,0.0004323447,0.001160416,0.001104872,0.001911048,0.0005734261,0.0004334366,0.004765139],"category_scores_gemma":[0.002236056,0.0002462807,0.0003324118,0.0007423494,0.003299268,0.003163662,0.001383222,0.0008192901,0.0004007148],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009134109,"about_ca_system_score_gemma":0.0004587303,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002623583,"about_ca_topic_score_gemma":0.0002326331,"domain_scores_codex":[0.9994183,0.0001278087,0.00003222973,0.0000897381,0.0002317644,0.000100241],"domain_scores_gemma":[0.9990177,0.0003918676,0.0001815752,0.000153016,0.0001016323,0.0001542438],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002336511,0.000009603812,0.0005481732,0.00003348213,0.00000439752,0.0001341222,0.0001992891,0.0006823929,0.001485293,0.995302,0.0002216719,0.001356291],"study_design_scores_gemma":[0.00002214414,0.00002290471,0.0009424336,0.000008935222,0.000005708854,0.0002396931,0.000122429,0.00280979,0.001046301,0.9925396,0.002232313,0.000007691251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.894964,0.0009662015,0.02414365,0.001046194,0.0001108587,0.00001808512,0.00006240304,0.000081708,0.07860694],"genre_scores_gemma":[0.9950659,0.0001346356,0.001476365,0.00005314599,0.00007291931,0.00001278813,0.00002916793,0.000005484591,0.003149467],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004765139,"threshold_uncertainty_score":0.01594102,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01789275799956357,"score_gpt":0.2677435594618435,"score_spread":0.2498508014622799,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}