{"id":"W2044701807","doi":"10.1142/s0129167x08004947","title":"ORBIFOLD COHOMOLOGY OF HYPERTORIC VARIETIES","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"University of Toronto; George Mason University; American Institute of Mathematics; National Science Foundation","keywords":"Orbifold; Mathematics; Hyperplane; Pure mathematics; Symplectic geometry; Cohomology; Betti number; Toric variety; Affine transformation; Polytope; Affine space; Algebra over a field; Combinatorics","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":[0.0005852831,0.0002028562,0.0006799367,0.0002916221,0.00004521445,0.00001317788,0.0009297205,0.0001233607,0.0001318094],"category_scores_gemma":[0.003054444,0.0001673129,0.0002591121,0.0001632312,0.0001872961,0.0002260242,0.0001347515,0.0002726818,0.00001543584],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001235448,"about_ca_system_score_gemma":0.0001653261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002477681,"about_ca_topic_score_gemma":6.94535e-7,"domain_scores_codex":[0.9970628,0.00005689424,0.001455709,0.000106306,0.001130829,0.0001874591],"domain_scores_gemma":[0.9946313,0.001522856,0.001834477,0.0003017019,0.001622814,0.00008685734],"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":[0.0000775704,0.001752061,0.0005809635,0.000232896,0.0006721671,0.000376668,0.004913468,0.00005457117,0.002996594,0.9827879,0.005201098,0.0003540368],"study_design_scores_gemma":[0.001079084,0.0002412897,0.00004865906,0.0001799202,0.00008940383,0.003154925,0.0004944056,0.0002037328,0.008613644,0.9844816,0.00124101,0.000172383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8264551,0.0002975328,0.1612808,0.0004608811,0.004706922,0.0002496086,0.00001419181,0.00006166715,0.006473373],"genre_scores_gemma":[0.7977096,0.0001608601,0.2011424,0.00003345591,0.0004770416,0.000003285753,8.115838e-7,0.00004188304,0.0004305563],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03986166,"threshold_uncertainty_score":0.6822823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06499801133323535,"score_gpt":0.3301861304306523,"score_spread":0.2651881190974169,"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."}}