{"id":"W2000445578","doi":"10.4153/cjm-2003-037-4","title":"Hypergeometric Abelian Varieties","year":2003,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; McGill University","keywords":"Mathematics; Abelian group; Monodromy; Pure mathematics; Construct (python library); Hypergeometric distribution; Modularity (biology); Modular form; Gauss; Hypergeometric function; Type (biology); Algebra over a field; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001805351,0.0001858162,0.0004282308,0.0008261909,0.0001682205,0.00006730356,0.0003550207,0.0001274232,0.001370664],"category_scores_gemma":[0.0053895,0.000157672,0.0001844511,0.0008439826,0.0001209285,0.0001549533,0.000007837569,0.0003214987,0.00009060231],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000112239,"about_ca_system_score_gemma":0.0007925977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006061089,"about_ca_topic_score_gemma":0.0003944387,"domain_scores_codex":[0.9984061,0.00009978541,0.0006866906,0.00009659558,0.0003031731,0.0004077187],"domain_scores_gemma":[0.9975793,0.0007034628,0.0004398825,0.0003217363,0.000294988,0.0006606228],"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":[0.000002314211,0.000101605,0.001183718,0.0001928042,0.0001446839,0.0001555443,0.002158922,0.000005934896,0.00003668109,0.9834269,0.01210374,0.0004871104],"study_design_scores_gemma":[0.000367678,0.00009993058,0.0001037786,0.00009086519,0.0001117834,0.001220047,0.003092726,0.000007188035,0.001215579,0.964249,0.0292148,0.0002266584],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9042439,0.001685565,0.02486751,0.000335045,0.001406001,0.0002058427,0.00001268243,0.00002968602,0.06721379],"genre_scores_gemma":[0.9531803,0.00002054312,0.04444882,0.0001152049,0.0001064012,0.000001506394,3.979144e-7,0.00004256748,0.00208426],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06512953,"threshold_uncertainty_score":0.9995422,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03535546662453979,"score_gpt":0.2523078000398579,"score_spread":0.2169523334153181,"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."}}