{"id":"W2132783546","doi":"10.1142/s0129167x14500360","title":"Index conditions and cup-product maps on Abelian varieties","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Abelian group; Vector bundle; Pure mathematics; Degenerate energy levels; Product (mathematics); Abelian variety; Line bundle; Index (typography); Geometry; Computer science","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":[0.001059238,0.0001430647,0.0002676412,0.0002571412,0.00006581377,0.00007397176,0.0003634293,0.00005719571,0.0002157686],"category_scores_gemma":[0.001780108,0.0001137929,0.00009846521,0.00007742186,0.0001115427,0.0001664055,0.00006245992,0.000257797,0.00003783031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003708184,"about_ca_system_score_gemma":0.00002952043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001339701,"about_ca_topic_score_gemma":9.662778e-7,"domain_scores_codex":[0.9985455,0.00006754568,0.0005526405,0.0001052917,0.0006030041,0.0001259945],"domain_scores_gemma":[0.997747,0.001051559,0.0005311237,0.0001858237,0.0003977385,0.00008672647],"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":[0.00004110294,0.0004404325,0.000631389,0.00008189036,0.0002959069,0.00002036424,0.001285674,0.00002133967,0.0002348622,0.9881309,0.007142559,0.00167354],"study_design_scores_gemma":[0.0005917174,0.000121448,0.0005340751,0.0001901125,0.00004868654,0.0005073929,0.0005608356,0.0001913894,0.00125573,0.9918818,0.003992319,0.0001244851],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9383672,0.00007826179,0.04001403,0.003332003,0.001545022,0.0001399318,0.00002807672,0.00004539073,0.01645003],"genre_scores_gemma":[0.987984,0.0000297888,0.01039273,0.000273804,0.0005194918,0.000002055493,0.00000278207,0.00002125062,0.0007740776],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04961676,"threshold_uncertainty_score":0.4640341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0233638593822922,"score_gpt":0.3039021656095407,"score_spread":0.2805383062272485,"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."}}