{"id":"W1966804110","doi":"10.1007/s00229-013-0610-5","title":"Weak toroidalization over non-closed fields","year":2013,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Morphism; Algebraically closed field; Number theory; Algebraic geometry; Monomial; Pure mathematics; Zero (linguistics); Algebraic number; Field (mathematics); Algebra over a field; Discrete mathematics; Mathematical analysis","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":[0.001338887,0.001162236,0.00100559,0.002993519,0.003068479,0.003835676,0.0009452579,0.0009494292,0.01162991],"category_scores_gemma":[0.002374655,0.0005130649,0.0009217625,0.001546894,0.004723253,0.01124409,0.004381773,0.00387854,0.001194537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002091984,"about_ca_system_score_gemma":0.0007348694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007124222,"about_ca_topic_score_gemma":0.0005715442,"domain_scores_codex":[0.9990312,0.0001954386,0.00006077335,0.0002409536,0.0002307716,0.0002409462],"domain_scores_gemma":[0.9985672,0.0002950766,0.0002232593,0.0001931417,0.0003463324,0.0003749034],"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":[0.00003222085,0.000007568283,0.00005128701,0.00002114696,0.000005004634,0.00002672119,0.0001168316,0.0001046726,0.0003685014,0.9973339,0.0005065211,0.001425538],"study_design_scores_gemma":[0.00001669816,0.00001874942,0.0001703958,0.000008640599,0.000009906316,0.00007603462,0.0001087048,0.000529232,0.0005103528,0.9946262,0.003917505,0.00000755983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4724892,0.002269801,0.1485294,0.008103013,0.001945701,0.0001263154,0.000780693,0.0006954671,0.3650604],"genre_scores_gemma":[0.9346845,0.001221803,0.01207457,0.0008019837,0.001339036,0.00007806013,0.0003848624,0.0002443303,0.04917085],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01162991,"threshold_uncertainty_score":0.03890592,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02893090541376825,"score_gpt":0.2654407929685834,"score_spread":0.2365098875548152,"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."}}