{"id":"W1989107515","doi":"10.1515/crelle.2011.121","title":"The Brauer group of Kummer surfaces and torsion of elliptic curves","year":2011,"lang":"de","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Hausdorff Research Institute for Mathematics; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Brauer group; Mathematics; Torsion (gastropod); Pure mathematics; Abelian group; Elliptic curve; Group (periodic table); Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005818784,0.000857365,0.0006186102,0.002767588,0.00135042,0.002859466,0.0008085619,0.0009638384,0.005576037],"category_scores_gemma":[0.002417596,0.0003985889,0.0003682798,0.001167704,0.003499133,0.003728824,0.002484168,0.001775748,0.001044914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005305606,"about_ca_system_score_gemma":0.0002979886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003109032,"about_ca_topic_score_gemma":0.0002962872,"domain_scores_codex":[0.9994932,0.0001316639,0.00002091294,0.00009968115,0.0001338257,0.0001205882],"domain_scores_gemma":[0.9989672,0.000309258,0.0002495583,0.0001503743,0.00009137587,0.0002322747],"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":[0.00007668162,0.00005025006,0.001345755,0.00004151709,0.000009760146,0.0002198624,0.0007405016,0.001144039,0.003949274,0.9843797,0.0007303489,0.007312208],"study_design_scores_gemma":[0.00003201161,0.00007904971,0.001576764,0.00004003623,0.00001591714,0.0004123934,0.0004469123,0.00537927,0.002343829,0.9855307,0.004109196,0.0000338992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9137591,0.002149235,0.03285564,0.000910144,0.0002890417,0.00003741942,0.00008749168,0.0001564176,0.04975551],"genre_scores_gemma":[0.9896383,0.0005215387,0.003123996,0.00008880912,0.0001865175,0.00001928598,0.00006925028,0.00003726606,0.00631502],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005576037,"threshold_uncertainty_score":0.01865375,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03162470128400353,"score_gpt":0.2967112615394707,"score_spread":0.2650865602554672,"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."}}