{"id":"W2794404060","doi":"10.1017/fms.2020.28","title":"TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Object (grammar); Commutative property; Dimension (graph theory); Singularity; Triangulated category; Prime (order theory); Algebraic number; Derived category","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":[0.0006503543,0.0005066637,0.0005292799,0.001529326,0.001341877,0.001998959,0.0006030636,0.0005409742,0.005046221],"category_scores_gemma":[0.001132089,0.0002709156,0.0007129021,0.0007906326,0.003026417,0.003987611,0.002461467,0.001407029,0.0005502265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001466051,"about_ca_system_score_gemma":0.000509258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001102403,"about_ca_topic_score_gemma":0.0006129696,"domain_scores_codex":[0.9993842,0.00008852514,0.00003648331,0.0001415421,0.0001947706,0.000154546],"domain_scores_gemma":[0.9993734,0.0001633466,0.00009237316,0.00008231147,0.0001069056,0.0001818449],"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":[0.0000124115,0.000008857315,0.0003510673,0.00002354574,0.000004478219,0.00007463834,0.0002975704,0.0003196413,0.001103275,0.9955478,0.0002789152,0.001977752],"study_design_scores_gemma":[0.00001774387,0.00005744701,0.001340979,0.00001992516,0.00001895782,0.0002592526,0.0003382438,0.004982081,0.00228804,0.986774,0.003874838,0.00002852174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8171554,0.001731307,0.09309296,0.00131796,0.0002789992,0.00005717713,0.0002733302,0.0004572097,0.08563567],"genre_scores_gemma":[0.9850231,0.0003582445,0.007994277,0.0001998435,0.0001427096,0.00002123005,0.0001771659,0.0000442891,0.006039069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005046221,"threshold_uncertainty_score":0.01688129,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05358660180845088,"score_gpt":0.2830665331460746,"score_spread":0.2294799313376237,"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."}}