{"id":"W4319296099","doi":"10.1016/j.aim.2023.108893","title":"The Doran-Harder-Thompson conjecture for toric complete intersections","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Alberta","funders":"University of Alberta; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Conjecture; Complete intersection; Pure mathematics; Intersection (aeronautics); Mirror symmetry; Identity (music); Toric variety; Intersection theory; Calabi–Yau manifold; Variety (cybernetics); Combinatorics; Algebra over a field; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.001025478,0.0001985546,0.0003141352,0.0001263439,0.000358492,0.0000478248,0.0003822842,0.00008317058,0.00006937535],"category_scores_gemma":[0.001405722,0.0001395809,0.000132332,0.0007133891,0.000130724,0.0001659416,0.00008514787,0.0002151483,0.00010023],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005713139,"about_ca_system_score_gemma":0.00001779392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.946834e-7,"about_ca_topic_score_gemma":0.00005692698,"domain_scores_codex":[0.9986215,0.00006411403,0.0004685315,0.0002198575,0.000214363,0.0004116979],"domain_scores_gemma":[0.9938471,0.005402766,0.0001873099,0.0004553933,0.00006124366,0.00004623796],"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":[0.00003804456,0.0001262107,0.00008232189,0.0007558901,0.00005771659,0.000006394086,0.003804539,0.0001847289,0.00008987998,0.9828288,0.004408114,0.007617353],"study_design_scores_gemma":[0.0004026464,0.00004987821,0.00003087316,0.0000998763,0.00002583326,0.00001483628,0.004408624,0.001988681,0.0001445005,0.9259769,0.0666868,0.0001705287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3458649,0.007092374,0.5320098,0.007474475,0.01254325,0.008448115,0.0003908857,0.003075768,0.08310051],"genre_scores_gemma":[0.8992339,0.002141167,0.0777818,0.0002494322,0.0008956306,0.001256548,0.00005711601,0.0002332717,0.01815118],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.553369,"threshold_uncertainty_score":0.5691945,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04181070844609152,"score_gpt":0.3443897508924033,"score_spread":0.3025790424463118,"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."}}