{"id":"W2046227519","doi":"10.4064/cm121-1-1","title":"Describing toric varieties and their equivariant cohomology","year":2010,"lang":"en","type":"article","venue":"Colloquium Mathematicum","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Toric variety; Pure mathematics; Cohomology; Torus; Equivariant map; Equivariant cohomology; Torsion (gastropod); Quotient; Algebra over a field; Geometry","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":[0.001047829,0.0005185264,0.0008731119,0.0001712605,0.000338211,0.0001582231,0.0005422433,0.0003334451,0.0002972101],"category_scores_gemma":[0.004088662,0.0004135646,0.0001383493,0.0003474727,0.0003352858,0.0003041998,0.0004549473,0.0006189157,0.00005904581],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006826847,"about_ca_system_score_gemma":0.0001242647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005935897,"about_ca_topic_score_gemma":0.00001898825,"domain_scores_codex":[0.9975793,0.00009905402,0.0007929582,0.0005071518,0.000334158,0.0006874062],"domain_scores_gemma":[0.9957272,0.002243075,0.0004159317,0.001082303,0.0002182662,0.0003131889],"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":[0.00001684251,0.0002392426,0.00002977422,0.0003324345,0.00006857364,0.00001656609,0.003211301,4.61121e-7,0.02378822,0.9704714,0.001379128,0.0004460203],"study_design_scores_gemma":[0.0007028026,0.0001188822,0.00001162281,0.00009887037,0.00007660753,0.0003467005,0.0009943346,0.0009145483,0.007461433,0.987559,0.001231843,0.0004833663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8145654,0.0002161029,0.1509138,0.0008561584,0.005291894,0.002043827,0.00002508962,0.001124333,0.02496334],"genre_scores_gemma":[0.8841459,0.00001251311,0.1137125,0.0001027293,0.000343094,0.0001771857,0.00000297937,0.0001356714,0.001367409],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0695805,"threshold_uncertainty_score":0.9998316,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05479880498149706,"score_gpt":0.2889654198236437,"score_spread":0.2341666148421466,"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."}}