{"id":"W2945319256","doi":"10.1098/rspa.2018.0791","title":"Four-dimensional Fano quiver flag zero loci","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Imperial College London","keywords":"Flag (linear algebra); Quiver; Fano plane; Zero (linguistics); Physics; Mathematics; Geometry; Pure mathematics; Linguistics; Philosophy; Algebra over a field","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005247876,0.0001778287,0.0003220174,0.00001701528,0.0001459002,0.00004602188,0.0003680594,0.00006710475,0.00005526503],"category_scores_gemma":[0.0002521672,0.0001061884,0.0002513988,0.0003035991,0.0003787569,0.0001517025,0.0002695906,0.0002030222,0.00002228861],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001575369,"about_ca_system_score_gemma":0.00001545655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001334542,"about_ca_topic_score_gemma":9.096571e-9,"domain_scores_codex":[0.9987355,0.000004116984,0.0002051438,0.0002544618,0.0005047899,0.0002959666],"domain_scores_gemma":[0.9992141,0.0004610462,0.00009680164,0.00008483249,0.00006007289,0.0000831363],"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":[0.000007360704,0.0001722906,0.0003913071,0.00101646,0.0000678533,9.701176e-8,0.001627381,0.0003826027,0.00816681,0.9868233,0.001264043,0.00008053515],"study_design_scores_gemma":[0.0001951056,0.00008142512,0.0005798491,0.0001995972,0.00004704377,0.0000058238,0.0002851579,0.09852524,0.005625254,0.894201,0.00004701475,0.0002074527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9957297,0.00002063053,0.0004427379,0.0002758944,0.00006017466,0.0001656537,0.000001708079,0.00005972325,0.003243781],"genre_scores_gemma":[0.9902503,8.044598e-7,0.008743806,0.00004567547,0.00006634261,0.000006916418,8.729195e-8,0.0000125123,0.0008735723],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09814264,"threshold_uncertainty_score":0.4330238,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01441064095018572,"score_gpt":0.2282166197692445,"score_spread":0.2138059788190588,"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."}}