{"id":"W2039609128","doi":"10.1090/tran6648","title":"Density of orbits of endomorphisms of abelian varieties","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Endomorphism; Mathematics; Abelian group; Abelian variety; Fibration; Monoid; Variety (cybernetics); Pure mathematics; Abelian variety of CM-type; Algebraic number; Arithmetic of abelian varieties; Constant (computer programming); Orbit (dynamics); Commutative property; Elementary abelian group; Homotopy; Rank of an abelian group; 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":[0.000837423,0.0001501309,0.0007952183,0.00003443563,0.00004853236,0.000002099249,0.0003984491,0.00006578666,0.0001507061],"category_scores_gemma":[0.0003554198,0.0001055815,0.0006030822,0.0006265376,0.001932532,0.00005708034,0.00003480952,0.0001779306,0.000003094655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002586656,"about_ca_system_score_gemma":0.00009094101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009339688,"about_ca_topic_score_gemma":0.000001794016,"domain_scores_codex":[0.9983646,0.0001400826,0.0006981606,0.0001258815,0.0005019971,0.0001692858],"domain_scores_gemma":[0.9971848,0.001030648,0.0008057908,0.0006076136,0.0002898381,0.00008127795],"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":[0.0008642605,0.008679709,0.003087073,0.007985664,0.003903483,0.000001376342,0.06518498,0.0004614744,0.08649307,0.8157922,0.002897294,0.004649421],"study_design_scores_gemma":[0.0005707152,0.0002801228,0.0003999152,0.0001385346,0.0004435694,0.00001466675,0.008342773,0.0003424867,0.2208141,0.7684961,0.00001483877,0.0001422425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7716188,0.00002250672,0.2268693,0.0001684456,0.000046062,0.0001979563,0.00003570547,0.0000207727,0.001020475],"genre_scores_gemma":[0.9557127,0.00001186416,0.04396749,0.00002086186,0.000007489003,0.000005780809,4.304449e-7,0.00001697651,0.0002564019],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1840939,"threshold_uncertainty_score":0.7120495,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03756934255847038,"score_gpt":0.282884155621465,"score_spread":0.2453148130629946,"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."}}