{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001167625,0.0001994866,0.0003055707,0.00006081958,0.0003849052,0.00005210831,0.000422722,0.0001144204,0.0003087331],"category_scores_gemma":[0.0004349132,0.0001200093,0.0001072208,0.0003337808,0.0002810185,0.0001881013,0.00008894038,0.0004504275,0.00006274971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007447264,"about_ca_system_score_gemma":0.00003779342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002216567,"about_ca_topic_score_gemma":0.0002110482,"domain_scores_codex":[0.9987204,0.00007594308,0.0003432881,0.0002152722,0.0003384245,0.0003066783],"domain_scores_gemma":[0.9975348,0.001197889,0.0002750049,0.0007769893,0.0001343409,0.00008102077],"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":[0.00011814,0.0006701447,0.002405864,0.0005537929,0.0004841448,0.000008461843,0.002809415,0.000005438634,0.01951489,0.9658614,0.004773081,0.002795192],"study_design_scores_gemma":[0.000558226,0.0001786101,0.005951618,0.0001048041,0.0001648962,0.0001384476,0.001018234,0.0004199615,0.02143894,0.9660646,0.003615337,0.0003463171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9782646,0.00005752318,0.006518765,0.0003993817,0.0001387709,0.0003180495,0.00001058548,0.00007798782,0.01421431],"genre_scores_gemma":[0.98594,0.00001690919,0.01185717,0.00002270658,0.00006737057,0.00004484291,0.000002557912,0.00003511183,0.00201337],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01220094,"threshold_uncertainty_score":0.4893835,"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."}}