{"id":"W2963276222","doi":"10.17323/1609-4514-2003-3-3-751-805","title":"Desingularization Algorithms I. Role of Exceptional Divisors","year":2003,"lang":"en","type":"article","venue":"Moscow Mathematical Journal","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Killam Trusts","keywords":"Mathematics; Algebra over a field; Pure mathematics; Algorithm","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":[0.001536818,0.0001814195,0.0003643697,0.0001355089,0.0001715942,0.00005074868,0.0002040041,0.0001233581,0.002953137],"category_scores_gemma":[0.001733589,0.0001479522,0.0001733376,0.000265629,0.0001326308,0.0001799061,0.00003292029,0.0003092289,0.00008372915],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004198861,"about_ca_system_score_gemma":0.00006703105,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.586679e-7,"about_ca_topic_score_gemma":7.749149e-8,"domain_scores_codex":[0.9980349,0.000252436,0.0006787367,0.0001507719,0.0005835159,0.0002996558],"domain_scores_gemma":[0.9985245,0.000579983,0.00032487,0.0002300878,0.0001670209,0.0001735139],"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":[0.0000149544,0.0005310192,0.000364242,0.0001010343,0.00008769122,0.000008002707,0.001126041,0.00001102929,0.003258653,0.9915259,0.0001818071,0.002789607],"study_design_scores_gemma":[0.0003993983,0.00006616789,0.00009615803,0.0001043388,0.00006302882,0.0005430615,0.0008604873,0.0004640921,0.009882954,0.987146,0.0002188297,0.0001555357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.391389,0.0001000778,0.5943297,0.00004014224,0.0001328773,0.0001321415,0.000002623093,0.00003866063,0.01383484],"genre_scores_gemma":[0.8233058,0.000008396602,0.175813,0.00003335087,0.0001125727,0.000005450405,0.000001647768,0.00003533504,0.0006845292],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4319168,"threshold_uncertainty_score":0.9979583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02684379960373624,"score_gpt":0.2838882460054552,"score_spread":0.257044446401719,"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."}}