{"id":"W4364860565","doi":"10.4064/aa220518-28-2","title":"Growth of $p$-parts of ideal class groups and fine Selmer groups in $\\mathbb Z_q$-extensions with $p\\ne q$","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa; Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Ideal (ethics); Iwasawa theory; Class field theory; Class (philosophy); Algebraic number field; Class number; Quadratic equation; Quadratic field; Field (mathematics); Combinatorics; Pure mathematics; Arithmetic; Discrete mathematics; Quadratic function; Law; Abelian group; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001214646,0.000869256,0.000747428,0.002888738,0.002300393,0.003879868,0.00107227,0.001138562,0.006192069],"category_scores_gemma":[0.004679254,0.0006040274,0.0007725161,0.0009090114,0.005166363,0.006194586,0.0028866,0.001858962,0.0006038711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001359108,"about_ca_system_score_gemma":0.0005623236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007849992,"about_ca_topic_score_gemma":0.00064685,"domain_scores_codex":[0.9995111,0.00008334406,0.00002246588,0.0001174837,0.000120325,0.000145206],"domain_scores_gemma":[0.9964905,0.001215705,0.0006245325,0.0002260594,0.0002048966,0.001238298],"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":[0.0003138492,0.00007141309,0.00514821,0.00007368463,0.00002043379,0.0006044721,0.001423525,0.003770065,0.008518827,0.972487,0.001556201,0.006012327],"study_design_scores_gemma":[0.0001027831,0.0001397979,0.007895254,0.0000650876,0.00004040456,0.000935186,0.001023228,0.03526046,0.008656649,0.9414129,0.004412557,0.0000557019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9603903,0.0002934153,0.01702774,0.0009848023,0.00006248531,0.00002507388,0.0001641819,0.0002020085,0.02084999],"genre_scores_gemma":[0.9884013,0.0002074845,0.004074039,0.00008171517,0.0001049027,0.00004543509,0.0002514394,0.00005956335,0.006774055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006192069,"threshold_uncertainty_score":0.02071452,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02079153319719522,"score_gpt":0.261963700965573,"score_spread":0.2411721677683778,"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."}}