{"id":"W1975068388","doi":"10.1007/s00222-010-0258-7","title":"Non-commutative desingularization of determinantal varieties I","year":2010,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics; Variety (cybernetics); Endomorphism; Dimension (graph theory); Resolution (logic); Commutative ring; Endomorphism ring; Matrix (chemical analysis); Algebra over a field","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":[0.0005934168,0.0006651845,0.0008105375,0.001391356,0.002198451,0.003559864,0.0008701531,0.0007058915,0.00703303],"category_scores_gemma":[0.001529996,0.0004697771,0.0009609804,0.0008238527,0.004179562,0.003384275,0.002177055,0.002717274,0.0008155237],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001777588,"about_ca_system_score_gemma":0.0007486255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009556682,"about_ca_topic_score_gemma":0.00082873,"domain_scores_codex":[0.9993485,0.0001234181,0.00003069934,0.0001750008,0.0001891917,0.0001331685],"domain_scores_gemma":[0.9992669,0.0001846524,0.0001193705,0.0001297369,0.0001324773,0.0001669099],"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":[0.00002140522,0.0000156671,0.0001642603,0.00001577616,0.000007407038,0.00007892399,0.0002398875,0.0002880924,0.0009246577,0.9959494,0.00070845,0.001586064],"study_design_scores_gemma":[0.00001218588,0.00001763957,0.0005427671,0.00000747311,0.000009436703,0.0001969412,0.000131213,0.001867531,0.001164762,0.9923183,0.003719194,0.00001259982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6621161,0.00212745,0.068544,0.002845024,0.0008106216,0.00004802698,0.0002181894,0.0004474061,0.2628433],"genre_scores_gemma":[0.968968,0.0004163191,0.004195741,0.0002126386,0.0003418302,0.00001448239,0.00009091089,0.00006918814,0.02569097],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00703303,"threshold_uncertainty_score":0.0235278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02493608987714116,"score_gpt":0.3095795917428318,"score_spread":0.2846435018656907,"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."}}