{"id":"W3090210522","doi":"10.1007/s00208-020-02086-2","title":"Diagonal restrictions of p-adic Eisenstein families","year":2020,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Pure mathematics; Quadratic field; Modular form; Eisenstein series; Field (mathematics); Complex plane; Combinatorics; Mathematical analysis; Quadratic equation; Quadratic function","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003193385,0.0001846548,0.0003951345,0.00009765218,0.00008746651,0.00001493576,0.0002790455,0.00009633879,0.0007995749],"category_scores_gemma":[0.0009559376,0.0001635825,0.0001704538,0.0004913436,0.0001242484,0.0001347296,0.0001116274,0.0001983205,0.0002798757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000858365,"about_ca_system_score_gemma":0.00003885044,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006880996,"about_ca_topic_score_gemma":0.000001515763,"domain_scores_codex":[0.9986507,0.00009194791,0.0004758283,0.0002316334,0.0003140318,0.0002358324],"domain_scores_gemma":[0.9986169,0.0005977334,0.0002237154,0.000336331,0.00008235613,0.0001429173],"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":[0.00009887866,0.0004546703,0.001647484,0.001445852,0.0003623471,0.00003783127,0.01013339,0.00001147584,0.005408892,0.9061136,0.06970679,0.004578825],"study_design_scores_gemma":[0.001102221,0.0003529261,0.00209838,0.0002852896,0.0002633758,0.00007189302,0.004010043,0.0005244677,0.03693794,0.9339567,0.01973788,0.0006588618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9350429,0.0003789371,0.0107854,0.002161494,0.00008528922,0.0003205883,0.00005882542,0.0002266988,0.05093986],"genre_scores_gemma":[0.9870672,0.0000642594,0.01104294,0.000270726,0.0001632054,0.00002268606,0.000006668081,0.00003728555,0.001325031],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05202429,"threshold_uncertainty_score":0.8754785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07405509844753831,"score_gpt":0.295992438460606,"score_spread":0.2219373400130676,"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."}}