{"id":"W2594764123","doi":"10.4153/cmb-2016-092-9","title":"Faltings’ Finiteness Dimension of Local Cohomology Modules Over Local Cohen–Macaulay Rings","year":2016,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Institute for Research in Fundamental Sciences","keywords":"Local cohomology; Mathematics; Local ring; Dimension (graph theory); Injective function; Ideal (ethics); Pure mathematics; Ring (chemistry); Cohomology; Combinatorics; Discrete mathematics; Finitely-generated abelian group; Law","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007152775,0.0006227609,0.001295261,0.0003626513,0.0001844693,0.00004689959,0.0008717372,0.0007811656,0.01089122],"category_scores_gemma":[0.0008776668,0.0005175204,0.0003408498,0.0001630609,0.001130763,0.00002699526,0.0007156191,0.0008343702,0.002076802],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004758865,"about_ca_system_score_gemma":0.0005229447,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001813286,"about_ca_topic_score_gemma":0.001437638,"domain_scores_codex":[0.9964606,0.0002449515,0.001224656,0.0007784646,0.0004717137,0.0008196446],"domain_scores_gemma":[0.9944458,0.002438004,0.0005708738,0.001398341,0.0003917672,0.0007552357],"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":[0.00002931288,0.0002156192,0.00009383895,0.001546038,0.0002198517,0.00004892866,0.0006626307,0.00004619827,0.0001456801,0.9607331,0.03176951,0.004489302],"study_design_scores_gemma":[0.0005449732,0.00006295947,0.0005240854,0.001235689,0.0001931811,0.00004381792,0.0002320059,0.001249717,0.001194887,0.983596,0.01044637,0.0006763213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3720769,0.0002553645,0.6020696,0.007327084,0.0002359584,0.001619606,0.0006432735,0.0001740061,0.01559819],"genre_scores_gemma":[0.9894073,0.00001620492,0.008091778,0.0004943633,0.0001110679,0.0002590901,0.00006251471,0.0001377915,0.001419886],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6173304,"threshold_uncertainty_score":0.9997277,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02822032188183201,"score_gpt":0.2890476995156838,"score_spread":0.2608273776338518,"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."}}