{"id":"W4281656608","doi":"10.1017/nmj.2022.14","title":"SELMER GROUPS OF ELLIPTIC CURVES OVER THE EXTENSION","year":2022,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Iwasawa theory; Mathematics; Noncommutative geometry; Extension (predicate logic); Pure mathematics; Elliptic curve; Ideal (ethics); Algebra over a field; Dual (grammatical number); Torsion (gastropod); Conjecture","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00347095,0.0001871923,0.0004285979,0.00010413,0.0005158621,0.00003154772,0.0005906874,0.0000523397,0.01180744],"category_scores_gemma":[0.00113312,0.0001159257,0.0002920012,0.0003820261,0.0001642109,0.0001157275,0.0003121421,0.0009052822,0.00006366475],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005707614,"about_ca_system_score_gemma":0.00005378558,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.628427e-7,"about_ca_topic_score_gemma":1.060889e-7,"domain_scores_codex":[0.9971856,0.0004794453,0.0007453592,0.0001694426,0.001088202,0.0003319699],"domain_scores_gemma":[0.9969631,0.001890514,0.000435133,0.0004831275,0.0001058209,0.0001223451],"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":[0.000113598,0.001102816,0.0001789093,0.0008353021,0.0002528211,0.00008607365,0.002006839,0.00002465732,0.001351799,0.9518854,0.04096302,0.001198759],"study_design_scores_gemma":[0.0004250708,0.0001376235,0.0003139563,0.0002287973,0.0001664191,0.001764357,0.001160391,0.0003478882,0.0004799154,0.9936209,0.001192367,0.0001622535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9762689,0.00152444,0.01208148,0.00150772,0.0004371848,0.0003816654,0.0000110659,0.00005775187,0.007729807],"genre_scores_gemma":[0.9947302,0.00009764484,0.002762198,0.0007357121,0.0001959806,0.00002288615,0.000001370511,0.00004264085,0.001411315],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04173556,"threshold_uncertainty_score":0.9890959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03473558051241478,"score_gpt":0.2989967774442686,"score_spread":0.2642611969318538,"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."}}