{"id":"W2732345118","doi":"10.1515/math-2018-0101","title":"The Picard group of Brauer-Severi varieties","year":2018,"lang":"en","type":"preprint","venue":"Open Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Brauer group; Picard group; Pure mathematics; Field (mathematics); Group (periodic table); Base (topology); Algebra over a field; Mathematical analysis; Physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003629081,0.0005142427,0.001118989,0.00007895034,0.0003846264,0.0004354569,0.003685595,0.0004827624,0.0007762093],"category_scores_gemma":[0.001434643,0.0003520488,0.0003412007,0.000221835,0.0006755706,0.0001335661,0.006007538,0.0007045505,0.0001869411],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005992468,"about_ca_system_score_gemma":0.0001635774,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002462211,"about_ca_topic_score_gemma":0.00001708963,"domain_scores_codex":[0.9968842,0.0002689622,0.001233039,0.0004782987,0.0006819013,0.0004535858],"domain_scores_gemma":[0.9928659,0.002777311,0.001339957,0.00260798,0.0003006216,0.0001082135],"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":[0.00006010312,0.0004458656,0.00003358116,0.002146712,0.0005795031,0.000004572343,0.003976343,0.000001756888,0.00003148772,0.951232,0.04054825,0.0009398314],"study_design_scores_gemma":[0.0002635736,0.0000852077,0.00003226299,0.00054724,0.0002564164,0.00001765203,0.001561721,0.0001396329,0.0009259568,0.9856583,0.01010847,0.0004035439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.2127318,0.001079552,0.1021509,0.001578887,0.004740783,0.007737983,0.0003180657,0.0004311263,0.6692309],"genre_scores_gemma":[0.4087096,0.0009501017,0.5244474,0.0002982716,0.001384359,0.00078539,0.0001075306,0.0005713618,0.062746],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6064849,"threshold_uncertainty_score":0.9998931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06173331783461132,"score_gpt":0.3333013898977476,"score_spread":0.2715680720631363,"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."}}