{"id":"W1995733260","doi":"10.1070/rm2008v063n06abeh004576","title":"Abelian solutions of the soliton equations and Riemann-Schottky problems","year":2008,"lang":"en","type":"article","venue":"Russian Mathematical Surveys","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Research Council Canada","keywords":"Mathematics; Abelian variety; Riemann hypothesis; Conjecture; Exposition (narrative); Abelian group; Variety (cybernetics); Algebraic number; Soliton; Pure mathematics; Algebra over a field; Mathematical analysis; Nonlinear system","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005113077,0.0001223911,0.00021301,0.00002663254,0.0003637311,0.00002080118,0.0001503038,0.00004015584,0.0003465475],"category_scores_gemma":[0.00003711569,0.00007965096,0.0001196408,0.0001787059,0.0002684223,0.00007138825,0.0000942289,0.0001474501,0.0000537914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008368844,"about_ca_system_score_gemma":0.00006105819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001095508,"about_ca_topic_score_gemma":0.00001059842,"domain_scores_codex":[0.998895,0.0002042529,0.0003125776,0.0001524156,0.0001746779,0.0002610073],"domain_scores_gemma":[0.9992303,0.0002125799,0.00009709544,0.0003223208,0.00002996139,0.0001077702],"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":[9.195653e-7,0.0003394221,0.0130012,0.00005364966,0.00005854059,4.472608e-7,0.000751345,0.00002724218,0.0002329013,0.9844583,0.0001884982,0.0008875606],"study_design_scores_gemma":[0.000858536,0.00007611112,0.2026876,0.0002313163,0.00009719645,0.00001308368,0.0003400346,0.01573865,0.0008918105,0.7769777,0.001577632,0.0005103854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4599543,0.0001640207,0.4018696,0.003668762,0.000285767,0.001261448,0.000499263,0.00009215102,0.1322047],"genre_scores_gemma":[0.996801,0.00000263888,0.001677889,0.00001340927,0.0001092652,0.00001630806,0.00001323808,0.00001448379,0.001351745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5368468,"threshold_uncertainty_score":0.3794453,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03482810296639745,"score_gpt":0.2458057125262193,"score_spread":0.2109776095598219,"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."}}