{"id":"W1586455572","doi":"10.48550/arxiv.0809.0095","title":"Dualizing complex of a toric face ring","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Face (sociological concept); Ring (chemistry); Geology; Philosophy; Linguistics; Chemistry","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":[0.0002541135,0.0002631372,0.000277829,0.0006839152,0.0009450885,0.001959519,0.0003983969,0.0003748365,0.005362085],"category_scores_gemma":[0.0005144441,0.0001801783,0.0002705826,0.0002143064,0.00190261,0.001686117,0.001276289,0.0009269714,0.0004590347],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008377674,"about_ca_system_score_gemma":0.0004697709,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009647305,"about_ca_topic_score_gemma":0.000657143,"domain_scores_codex":[0.9997634,0.00003154102,0.000009578035,0.00006545686,0.00008085811,0.00004922572],"domain_scores_gemma":[0.9997529,0.00003420752,0.00003313483,0.0000262608,0.00005653351,0.00009698515],"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":[0.00003388138,0.0000155825,0.0004802586,0.00002718486,0.000004930085,0.0003387925,0.0002677166,0.0007849838,0.005433696,0.9880514,0.0008262097,0.003735362],"study_design_scores_gemma":[0.00009547295,0.0002074467,0.003691509,0.00003781947,0.00006399123,0.003822236,0.001814144,0.02621383,0.03266436,0.8457936,0.08550872,0.00008690001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.7721003,0.0005690138,0.09898705,0.00101238,0.0003489781,0.0001551159,0.0003751723,0.0002530339,0.1261989],"genre_scores_gemma":[0.9700732,0.0001699971,0.01272751,0.0001477014,0.00008871583,0.00004456766,0.0001790821,0.0000327175,0.01653651],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.005362085,"threshold_uncertainty_score":0.01793802,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2693316532124501,"score_gpt":0.3855776019099811,"score_spread":0.116245948697531,"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."}}