{"id":"W2954319316","doi":"10.1093/imrn/rnaa358","title":"Degree of irrationality of a very general abelian variety","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Degree (music); Variety (cybernetics); Mathematics; Integer (computer science); Dimension (graph theory); Combinatorics; Abelian variety; Discrete mathematics; Pure mathematics; Physics; Computer science; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001104207,0.0005109317,0.0007457173,0.002615971,0.001320963,0.003117912,0.0007473532,0.0006934402,0.002861412],"category_scores_gemma":[0.002371963,0.000433868,0.0005432926,0.001019214,0.004533353,0.0023886,0.002987848,0.001358976,0.0003294393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00167017,"about_ca_system_score_gemma":0.0002871061,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006546613,"about_ca_topic_score_gemma":0.0005652905,"domain_scores_codex":[0.998776,0.0002236453,0.00006548108,0.0002434235,0.0003372589,0.0003540686],"domain_scores_gemma":[0.9983343,0.0005072931,0.000296021,0.0002150165,0.0002381006,0.0004092459],"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":[0.0009187463,0.00009807131,0.02950064,0.0001771975,0.0001219963,0.002417959,0.002550168,0.01154762,0.03421886,0.9012019,0.001496976,0.01574985],"study_design_scores_gemma":[0.0001302461,0.0003793631,0.02804538,0.00007823756,0.0001270651,0.002846021,0.001407065,0.02536568,0.01589797,0.910562,0.01498295,0.0001780549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9738494,0.0002072684,0.005192342,0.0003178569,0.00003537909,0.00001048165,0.00005498298,0.00006392044,0.0202684],"genre_scores_gemma":[0.9982456,0.0000600612,0.0006960842,0.00001926459,0.00002089481,0.000004417881,0.00003250423,0.00000811973,0.0009129676],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003117912,"threshold_uncertainty_score":0.01211798,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3384014731965477,"score_gpt":0.45967953330839,"score_spread":0.1212780601118423,"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."}}