{"id":"W4396229295","doi":"10.1515/crelle-2024-0023","title":"𝑉-filtrations and minimal exponents for local complete intersections","year":2024,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009789873,0.0003680293,0.0005274549,0.000480189,0.001263469,0.001032479,0.0003270648,0.0001161059,0.0002561758],"category_scores_gemma":[0.0003937473,0.0002807238,0.0004404228,0.00028876,0.0002131167,0.0005978873,0.0001059559,0.0008686678,0.00003750783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001765876,"about_ca_system_score_gemma":0.0001402453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000435078,"about_ca_topic_score_gemma":0.00004184071,"domain_scores_codex":[0.9976693,0.0001298165,0.001057871,0.0002993789,0.0003921891,0.0004514924],"domain_scores_gemma":[0.9969209,0.001636374,0.0003974039,0.0002744476,0.0003907599,0.0003801302],"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":[0.0003540512,0.001304457,0.00008324005,0.001931033,0.004354096,0.0004540274,0.02115414,0.0001157442,0.02418834,0.6520397,0.2327831,0.06123806],"study_design_scores_gemma":[0.001434902,0.0005922042,0.0000571465,0.001338231,0.000847779,0.007316394,0.005336,0.008831562,0.001359476,0.7947333,0.1775939,0.0005590242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1008378,0.01487858,0.8726036,0.00670757,0.0007339883,0.0006909719,0.0001624398,0.0001637768,0.003221295],"genre_scores_gemma":[0.9119287,0.007759185,0.07249992,0.0002452458,0.002277395,0.0001592302,0.00002818638,0.000238048,0.004864119],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8110909,"threshold_uncertainty_score":0.9999645,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0673427113397232,"score_gpt":0.3724119951541978,"score_spread":0.3050692838144746,"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."}}