{"id":"W2076500389","doi":"10.1353/ajm.2000.0034","title":"Double sections, dominating maps, and the Jacobian fibration","year":2000,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Fibration; Pure mathematics; Jacobian matrix and determinant; Fibered knot; Riemann surface; Conic section; Connection (principal bundle); Euler characteristic; Surface (topology); Orbifold; Mathematical analysis; Algebra over a field; Geometry; Homotopy","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":[0.001825547,0.0001313139,0.0004078492,0.00008197795,0.000185285,0.00006298548,0.0001919279,0.00003074232,0.0003038456],"category_scores_gemma":[0.0002841828,0.00008145793,0.0001184075,0.0002847915,0.0004144277,0.0001778053,0.00002364587,0.0002508655,0.00001658187],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000232498,"about_ca_system_score_gemma":0.00003048314,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009676095,"about_ca_topic_score_gemma":0.0000023831,"domain_scores_codex":[0.9987259,0.0001527129,0.0006030657,0.00008177385,0.0002778512,0.0001586976],"domain_scores_gemma":[0.9975765,0.001367459,0.0006790163,0.0002096193,0.00009428141,0.00007310093],"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":[0.001451133,0.0008591666,0.0003633477,0.0004600869,0.0008160558,0.00004335248,0.05248122,0.0001373928,0.0002767944,0.7374159,0.007282325,0.1984132],"study_design_scores_gemma":[0.004061054,0.0003897688,0.00007726555,0.0002562958,0.0002985935,0.002082047,0.01936705,0.000626726,0.001197709,0.969102,0.002280237,0.0002612872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9857358,0.0001148904,0.005990347,0.001211673,0.00007511966,0.0001527365,0.000001780212,0.00002022108,0.006697381],"genre_scores_gemma":[0.9494946,0.0001445402,0.04871109,0.0001479543,0.0002055159,0.000004564815,5.226285e-7,0.00002491849,0.001266272],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2316861,"threshold_uncertainty_score":0.3326896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01347681780912954,"score_gpt":0.2663309745620373,"score_spread":0.2528541567529077,"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."}}