{"id":"W1579311652","doi":"10.1090/proc/12529","title":"Critical sets of proper holomorphic mappings","year":2015,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Hypersurface; Holomorphic function; Bounded function; Mathematics; Locus (genetics); Boundary (topology); Identity theorem; Pure mathematics; Mathematical analysis; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00100256,0.0007043402,0.000872963,0.003503567,0.0018938,0.003034663,0.0007502117,0.001097032,0.003429495],"category_scores_gemma":[0.006179581,0.0006423095,0.0006812474,0.0005591426,0.003429192,0.002697557,0.003500044,0.001550173,0.0002983971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001865233,"about_ca_system_score_gemma":0.0004925482,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001228138,"about_ca_topic_score_gemma":0.0007222043,"domain_scores_codex":[0.9993266,0.0001367127,0.00003903734,0.0001476282,0.0002320069,0.0001180024],"domain_scores_gemma":[0.9980466,0.0008563191,0.0003264171,0.000124885,0.000303845,0.0003418638],"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":[0.00006806009,0.00001691545,0.001264604,0.00007150439,0.00001866063,0.0002794327,0.0004753599,0.003164284,0.003484844,0.9868022,0.000831986,0.003522172],"study_design_scores_gemma":[0.00006139802,0.00005531335,0.002575878,0.0001029016,0.00002351023,0.0005533786,0.0006424338,0.04218574,0.003936296,0.9443117,0.005518539,0.00003290765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8453794,0.001907001,0.09835321,0.001097618,0.000139491,0.00006944503,0.0003053239,0.0001205488,0.05262791],"genre_scores_gemma":[0.9804125,0.000604887,0.01134328,0.0001205305,0.0001282453,0.00006826064,0.000388497,0.00006057983,0.006873257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003503567,"threshold_uncertainty_score":0.01353329,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0582056581336213,"score_gpt":0.3309045915959037,"score_spread":0.2726989334622825,"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."}}