{"id":"W2002091134","doi":"10.1007/s002080000116","title":"Fuchsian groups, automorphic functions and Schwarzians","year":2000,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa; Concordia University","funders":"","keywords":"Mathematics; Fuchsian group; Automorphic form; Connection (principal bundle); Pure mathematics; Zero (linguistics); Differential operator; Automorphic L-function; Differential (mechanical device); Langlands–Shahidi method; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005629756,0.0006910458,0.0008865644,0.0002843923,0.0006097911,0.000233526,0.000406129,0.0003374929,0.01222029],"category_scores_gemma":[0.0002123904,0.0006593781,0.0002672551,0.0007236868,0.0003520772,0.0005427374,0.0001523789,0.0007386277,0.01228738],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004736057,"about_ca_system_score_gemma":0.00007987674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007851796,"about_ca_topic_score_gemma":0.00001701759,"domain_scores_codex":[0.9966652,0.0001531442,0.0008915985,0.000810398,0.0005556031,0.0009240283],"domain_scores_gemma":[0.997637,0.0004314172,0.0002766528,0.00109635,0.0001094072,0.0004491853],"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":[0.0002620066,0.003663003,0.00167927,0.006869443,0.003272977,0.0008020219,0.01571916,0.0000878538,0.0005327137,0.37642,0.2560203,0.3346713],"study_design_scores_gemma":[0.002879917,0.0006694073,0.001640041,0.001935366,0.001873381,0.0008032328,0.002981613,0.00444924,0.0004634665,0.621425,0.3583038,0.002575486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8696852,0.03259574,0.00892025,0.005333182,0.001000088,0.001802257,0.0006768781,0.001086378,0.07890008],"genre_scores_gemma":[0.723081,0.007334517,0.02202704,0.001178004,0.002564354,0.0002398873,0.0002092606,0.0005116926,0.2428542],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3320958,"threshold_uncertainty_score":0.9995857,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02302587624509939,"score_gpt":0.2672231318309798,"score_spread":0.2441972555858804,"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."}}