{"id":"W2034765515","doi":"10.4153/cmb-2011-054-9","title":"A Note on the Vanishing of Certain Local Cohomology Modules","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Local cohomology; Dual polyhedron; Pure mathematics; Cohomology; Ring (chemistry); Spectral sequence; Local ring; Algebra over a field; Discrete mathematics; Finitely-generated abelian group","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004775703,0.000156968,0.0002749196,0.00008375148,0.0001509658,0.00001421677,0.0004346706,0.0001001683,0.01555527],"category_scores_gemma":[0.00110813,0.0001086302,0.00009308438,0.0001321286,0.0003581366,0.00001390262,0.00004750102,0.0002404763,0.002362512],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008283434,"about_ca_system_score_gemma":0.0000958332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001358292,"about_ca_topic_score_gemma":0.002382722,"domain_scores_codex":[0.998838,0.0001334109,0.0003595803,0.0001839013,0.0001556327,0.0003294934],"domain_scores_gemma":[0.9971172,0.00188301,0.0001070959,0.0005756727,0.00008235728,0.000234722],"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":[0.000006459387,0.00007534495,0.000009814905,0.00003882136,0.00002291177,0.000006387207,0.001779099,7.459768e-7,0.00002829607,0.9862899,0.01049635,0.001245908],"study_design_scores_gemma":[0.0001225007,0.00007478836,0.0002709827,0.00006878535,0.00003396759,0.00001698646,0.0006690262,0.0002984184,0.001219237,0.9887975,0.00828479,0.0001429903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4484578,0.00004756967,0.1749603,0.02497175,0.00007752341,0.001425073,0.00009300456,0.0001149843,0.349852],"genre_scores_gemma":[0.9898392,0.000001529865,0.008419062,0.0008945146,0.00002107947,0.00007778699,0.00000209784,0.00002959378,0.0007151184],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5413814,"threshold_uncertainty_score":0.9984143,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06295049447545654,"score_gpt":0.2772299978583117,"score_spread":0.2142795033828552,"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."}}