{"id":"W2106716288","doi":"10.1112/s0010437x06002363","title":"Connectedness of classes of fields and zero-cycles on projective homogeneous varieties","year":2006,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; National Science Foundation","keywords":"Mathematics; Homogeneous; Projective test; Pure mathematics; Zero (linguistics); Torsion (gastropod); Algebraic number; Projective variety; Social connectedness; Algebraic group; Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis; Linguistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002295224,0.0001717808,0.0004669284,0.0001142716,0.00007156104,0.00001435139,0.000144395,0.0001086553,0.00007664973],"category_scores_gemma":[0.0001666886,0.0001455411,0.00008076787,0.0001533927,0.0002678136,0.000050351,0.00006271063,0.0001019136,0.000004912726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001269371,"about_ca_system_score_gemma":0.0000239721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001451705,"about_ca_topic_score_gemma":0.000002590294,"domain_scores_codex":[0.9989231,0.00009262,0.0004392236,0.0001746314,0.0002147038,0.0001557646],"domain_scores_gemma":[0.9974834,0.001788309,0.00026386,0.0003067563,0.0001265466,0.0000311563],"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":[0.0001007,0.0006994042,0.0001286532,0.001216788,0.00009805997,0.000006478707,0.001526566,0.000008903831,0.0065309,0.9888952,0.0006264485,0.0001619053],"study_design_scores_gemma":[0.0003073105,0.0002353548,0.0003796609,0.0002341423,0.00008487125,0.00004647611,0.0004314999,0.00009403619,0.1355714,0.8624629,0.00001362759,0.0001387356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9625417,0.0001033019,0.01547182,0.00006561756,0.00004660973,0.0003051922,0.00002241509,0.00005381713,0.02138949],"genre_scores_gemma":[0.9919665,0.000006088078,0.007646806,0.00001806974,0.00002761996,0.00001928627,0.000004700239,0.00002002045,0.0002908559],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1290405,"threshold_uncertainty_score":0.5934992,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02141626953985785,"score_gpt":0.2728091474897546,"score_spread":0.2513928779498967,"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."}}