{"id":"W2766476396","doi":"10.1016/j.aim.2019.03.006","title":"Relative Hard Lefschetz theorem for fans","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001624149,0.001147271,0.002310682,0.0003823103,0.0001271506,0.00009667041,0.001437761,0.000748875,0.00007500902],"category_scores_gemma":[0.006427573,0.00107889,0.0006233542,0.0003542015,0.000252918,0.0006947522,0.001099854,0.001664642,0.0001069597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005582463,"about_ca_system_score_gemma":0.0002596808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001658472,"about_ca_topic_score_gemma":0.00001578311,"domain_scores_codex":[0.9947262,0.0001593964,0.002103473,0.00116645,0.0008582064,0.0009862498],"domain_scores_gemma":[0.9872004,0.007796568,0.001940481,0.002483045,0.0004338624,0.0001456506],"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":[0.00004580658,0.0005902637,0.00004391594,0.009016251,0.0001235527,0.000008201703,0.00357639,0.002078286,0.00002816503,0.9827739,0.0003378956,0.001377356],"study_design_scores_gemma":[0.001352272,0.00009733986,0.000004437826,0.002944129,0.0002227945,0.000009600873,0.0008803772,0.01100153,0.0005160024,0.9735007,0.008349904,0.001120873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009054332,0.002733121,0.9432504,0.0002156512,0.004297697,0.0069787,0.0002742761,0.0005468151,0.03264907],"genre_scores_gemma":[0.02916558,0.001115947,0.9630073,0.00006083299,0.0004273389,0.001489069,0.00006729656,0.0004737815,0.00419284],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02845623,"threshold_uncertainty_score":0.9991661,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05003657245792015,"score_gpt":0.3642831649658015,"score_spread":0.3142465925078813,"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."}}