{"id":"W2297956301","doi":"10.1112/s1461157000001455","title":"The Brauer-Manin Obstruction and III[2]","year":2007,"lang":"en","type":"article","venue":"LMS Journal of Computation and Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Simon Fraser University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Nuffield Foundation","keywords":"Mathematics; Brauer group; Computation; Quadratic equation; Quintic function; Pure mathematics; Magma; Locus (genetics); Genus; Combinatorics; Algebra over a field; Geometry; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002214928,0.0004396283,0.0003891866,0.0008074552,0.001256465,0.001130493,0.0005679723,0.0005337272,0.008691675],"category_scores_gemma":[0.0009063239,0.0001793918,0.0003939733,0.0006434525,0.001168172,0.001320011,0.002012224,0.001015124,0.0008791735],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005396686,"about_ca_system_score_gemma":0.0003681463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001472107,"about_ca_topic_score_gemma":0.001763847,"domain_scores_codex":[0.9997582,0.00002320315,0.000007235471,0.0000311391,0.00008191833,0.00009829552],"domain_scores_gemma":[0.9998139,0.00004405635,0.00002724875,0.00003755238,0.00002880408,0.00004837795],"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":[0.0001135624,0.00004936503,0.003627754,0.0001157288,0.00001316568,0.0006234549,0.0005562286,0.007426761,0.00527738,0.9512857,0.004324806,0.02658617],"study_design_scores_gemma":[0.0000225168,0.00009112409,0.005750644,0.00005668382,0.00002405827,0.00110397,0.0005373413,0.04123557,0.01236265,0.8873268,0.05143852,0.00005006988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6088533,0.0005913227,0.1439174,0.0009539078,0.0002612271,0.00009423746,0.0002714146,0.001124789,0.2439324],"genre_scores_gemma":[0.9541498,0.0001752052,0.02575353,0.0001120165,0.00005002426,0.00002385513,0.0002528097,0.0001687619,0.01931398],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008691675,"threshold_uncertainty_score":0.02907652,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02173608237022532,"score_gpt":0.2995441827584909,"score_spread":0.2778081003882656,"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."}}