{"id":"W2464762243","doi":"10.3842/sigma.2017.030","title":"GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Orbifold; Mathematics; Moduli space; Gravitational singularity; Singularity; Elliptic integral; Pencil (optics); Pure mathematics; Mathematical analysis; Hypergeometric function; Series (stratigraphy); Chain (unit); Basic hypergeometric series; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009519763,0.0009875783,0.0007409363,0.003762321,0.001547598,0.003523007,0.000779739,0.001350184,0.006251346],"category_scores_gemma":[0.002152769,0.0002932736,0.0007870192,0.001605954,0.003555128,0.003819798,0.001951338,0.00188604,0.0009588918],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001482861,"about_ca_system_score_gemma":0.000721938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006633628,"about_ca_topic_score_gemma":0.0006121131,"domain_scores_codex":[0.9996454,0.00009128125,0.00002291126,0.00005349485,0.0001175336,0.00006948472],"domain_scores_gemma":[0.9995617,0.0001021232,0.00009939075,0.0000446873,0.00005562231,0.0001364012],"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":[0.00001292484,0.00001145176,0.0001506937,0.00002446346,0.000004766508,0.0001433475,0.0001087482,0.001357521,0.0007974659,0.9943686,0.0004333502,0.002586623],"study_design_scores_gemma":[0.0000159899,0.00001194775,0.0002769348,0.0000174761,0.000006170109,0.0002072748,0.000117566,0.01710684,0.0004470105,0.9804071,0.001368371,0.0000174632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7099802,0.002814008,0.1492008,0.003066928,0.0006754099,0.000106367,0.0002824563,0.0004014304,0.1334725],"genre_scores_gemma":[0.9632979,0.001064822,0.01391058,0.0002662539,0.0006359069,0.00007920969,0.0001593589,0.0001239714,0.02046194],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006251346,"threshold_uncertainty_score":0.02091283,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06680362921952177,"score_gpt":0.3942971357389436,"score_spread":0.3274935065194219,"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."}}