{"id":"W3165229665","doi":"10.4153/s0008439521000941","title":"Special curves in modular surfaces","year":2021,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Torus; Mathematics; Algebraic curve; Quadratic equation; Invariant (physics); Geodesic; Algebraic surface; Algebraic number; Upper half-plane; Modular design; Plane curve; Totally geodesic; Pure mathematics; Quartic plane curve; Combinatorics; Mathematical analysis; Geometry; Mathematical physics; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003394822,0.0007978361,0.0005277205,0.002003589,0.001403244,0.001899664,0.000442532,0.0007085159,0.004903032],"category_scores_gemma":[0.001464279,0.0002716398,0.0004893965,0.0008843893,0.002788317,0.002281218,0.002255376,0.0009068525,0.000540575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001142248,"about_ca_system_score_gemma":0.0002870921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006942142,"about_ca_topic_score_gemma":0.0003570018,"domain_scores_codex":[0.9997323,0.00004145286,0.00001146312,0.00006373748,0.0000852452,0.00006578179],"domain_scores_gemma":[0.9996428,0.00005692431,0.00008337334,0.00005015936,0.00004563996,0.0001210029],"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":[0.00008036374,0.00002383892,0.0009533525,0.00005280168,0.000009210151,0.0004955899,0.000665585,0.001699999,0.005709057,0.9812636,0.001058303,0.007988259],"study_design_scores_gemma":[0.00006160275,0.00007815082,0.002132051,0.00003046935,0.00001523567,0.0007931516,0.0004100422,0.008549159,0.002988822,0.974417,0.01050153,0.00002280158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9230647,0.000521476,0.01459825,0.0007504448,0.0001583274,0.00002952312,0.00009172744,0.0002880724,0.06049747],"genre_scores_gemma":[0.9930691,0.0001610432,0.001942069,0.00004169633,0.00009331047,0.00001191543,0.00005838841,0.00004038839,0.004582264],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004903032,"threshold_uncertainty_score":0.01640224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0301624863371824,"score_gpt":0.2648464400421546,"score_spread":0.2346839537049722,"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."}}