{"id":"W2607538913","doi":"10.1090/crmm/014/03","title":"Complex abelian varieties with real multiplication and Hilbert modular forms","year":2001,"lang":"en","type":"book-chapter","venue":"CRM monograph series","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Abelian group; Multiplication (music); Complex multiplication; Modular design; Mathematics; Arithmetic; Pure mathematics; Algebra over a field; Computer science; Programming language; Combinatorics; Elliptic curve","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001950083,0.0005448979,0.000615171,0.000297032,0.0003159571,0.00009396157,0.0002214835,0.0004201756,0.0002827056],"category_scores_gemma":[0.00001807001,0.0004398434,0.0001430294,0.0001064521,0.0007408253,0.0002965308,0.0001051139,0.0003334516,0.00001739734],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002471372,"about_ca_system_score_gemma":0.00002520824,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000336126,"about_ca_topic_score_gemma":0.00009164713,"domain_scores_codex":[0.998476,0.00001899347,0.0004090864,0.0004892837,0.0002888774,0.0003178164],"domain_scores_gemma":[0.9985335,0.0001482031,0.0003357482,0.0007071891,0.000138711,0.0001366591],"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":[0.0002225689,0.00003343194,0.0004090405,0.0002899319,0.0002958002,0.00001399836,0.0009584217,8.38801e-7,0.00002755523,0.9948698,0.0006143145,0.002264332],"study_design_scores_gemma":[0.0003812645,0.0002396904,0.0009647954,0.0001533248,0.0002021254,0.0001077609,0.0004023754,0.00001053786,0.00007115814,0.9156302,0.08125491,0.0005818682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.03767106,0.0006521567,0.002102967,0.0003028328,0.0001035307,0.0009315878,0.00008496352,0.0004446524,0.9577063],"genre_scores_gemma":[0.4082989,0.009805337,0.01966857,0.0003534121,0.0005574464,0.000280404,0.0009599602,0.0006331353,0.5594428],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3982634,"threshold_uncertainty_score":0.9998053,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03115239265936243,"score_gpt":0.2484181214849589,"score_spread":0.2172657288255964,"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."}}