{"id":"W2043272053","doi":"10.1017/s1474748015000109","title":"IMPROPER INTERSECTIONS OF KUDLA–RAPOPORT DIVISORS AND EISENSTEIN SERIES","year":2015,"lang":"en","type":"preprint","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Eisenstein series; Automorphic form; Mathematics; Pure mathematics; Fourier series; Dimension (graph theory); Abelian group; Degenerate energy levels; Unitary state; Shimura variety; Theta function; Algebra over a field; Mathematical analysis; Modular form; Physics; Quantum mechanics","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":[0.00125441,0.0003468347,0.001469142,0.0003768969,0.00005810281,0.00001962238,0.0008256227,0.0002676756,0.00001546003],"category_scores_gemma":[0.00185415,0.0002150802,0.000564877,0.0002413208,0.0006978937,0.0003101155,0.0009389902,0.0007606362,6.31878e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006520742,"about_ca_system_score_gemma":0.0004291425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001162185,"about_ca_topic_score_gemma":0.00002898764,"domain_scores_codex":[0.9966679,0.00005953014,0.002125728,0.0001665092,0.0007991972,0.0001811822],"domain_scores_gemma":[0.992753,0.0001900572,0.005106916,0.0008262577,0.001006528,0.0001173008],"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":[0.001770645,0.01484714,0.005279651,0.1409415,0.01671108,0.0002232864,0.08586177,0.02417359,0.08729498,0.5863211,0.02592554,0.01064968],"study_design_scores_gemma":[0.001048296,0.0004163709,0.0001962561,0.007147786,0.001161986,0.0005548861,0.003649826,0.0002072655,0.03946486,0.9453027,0.0004691762,0.0003805742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9910089,0.0005865903,0.004413968,0.0003126707,0.001658676,0.000359508,0.00006390279,0.00001085836,0.001584952],"genre_scores_gemma":[0.9163305,0.000244008,0.08264918,0.000008408029,0.0001540369,0.000003478388,0.000001371483,0.00004596577,0.0005630328],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3589816,"threshold_uncertainty_score":0.8770717,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0533736277522017,"score_gpt":0.3125981207619535,"score_spread":0.2592244930097518,"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."}}