{"id":"W2017890571","doi":"10.1007/s00208-009-0475-9","title":"The modularity of K3 surfaces with non-symplectic group actions","year":2010,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; K3 surface; Transcendental number; Pure mathematics; Symplectic geometry; Mirror symmetry; Rank (graph theory); Group (periodic table); Lattice (music); Combinatorics; Algebra over a field; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001620834,0.000988871,0.0009792225,0.003092322,0.002167307,0.004101577,0.001432945,0.001972404,0.005795758],"category_scores_gemma":[0.004762194,0.0007908515,0.0009421285,0.001392186,0.005891406,0.006549037,0.003332389,0.001822768,0.0006033234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001543138,"about_ca_system_score_gemma":0.0006709315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001348265,"about_ca_topic_score_gemma":0.001021146,"domain_scores_codex":[0.9990433,0.0002484666,0.00004701222,0.0001579877,0.0002642029,0.0002389835],"domain_scores_gemma":[0.9971449,0.001110326,0.0005609755,0.000313503,0.0002906638,0.0005796865],"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":[0.00007445826,0.00001621487,0.0005352208,0.00002469974,0.000008418984,0.0001159078,0.0004281048,0.001074246,0.001172394,0.9940963,0.0003862249,0.002067801],"study_design_scores_gemma":[0.00002861963,0.00001987171,0.0007448644,0.000009765738,0.00001130661,0.0001771629,0.0001519147,0.005439064,0.0004188951,0.9922713,0.0007129303,0.00001428677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9274711,0.0003936715,0.0314399,0.00128161,0.0001212231,0.00003734634,0.0001282692,0.0002044442,0.0389224],"genre_scores_gemma":[0.9918169,0.0001630405,0.003479751,0.0001163368,0.00012951,0.00002230004,0.00008317802,0.000065464,0.00412349],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005795758,"threshold_uncertainty_score":0.01938868,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03335590167606402,"score_gpt":0.2946633625376442,"score_spread":0.2613074608615802,"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."}}