{"id":"W3092575393","doi":"10.1017/s0004972720001057","title":"POINTS OF SMALL HEIGHT ON AFFINE VARIETIES DEFINED OVER FUNCTION FIELDS OF FINITE TRANSCENDENCE DEGREE","year":2020,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Subvariety; Degree (music); Function field; Affine transformation; Field (mathematics); Function (biology); Constant (computer programming); Type (biology); Transcendence (philosophy); Finite field; Pure mathematics; Mathematical analysis; Combinatorics; Variety (cybernetics); Statistics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009085425,0.0009542488,0.00109273,0.003875148,0.001488988,0.003266362,0.0009444126,0.0006168375,0.004600787],"category_scores_gemma":[0.00376107,0.0005350319,0.0008705308,0.001282793,0.003917037,0.003853377,0.00336769,0.002685952,0.0004976998],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001325628,"about_ca_system_score_gemma":0.0003253366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008226611,"about_ca_topic_score_gemma":0.0006625619,"domain_scores_codex":[0.9993616,0.0000981639,0.00002799267,0.0001345248,0.0001797575,0.0001979853],"domain_scores_gemma":[0.9973471,0.001453509,0.0002949264,0.000204097,0.0001781609,0.0005221554],"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":[0.000324714,0.00006494886,0.005085081,0.0002053788,0.00005078185,0.000648521,0.001056213,0.007310746,0.01755151,0.9528467,0.0007591798,0.01409619],"study_design_scores_gemma":[0.0001051775,0.000273668,0.01027749,0.0001106917,0.0000866866,0.001007347,0.0009899496,0.02763383,0.02345875,0.9302281,0.005730421,0.00009791715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9375541,0.001057116,0.0367323,0.00042976,0.00008932195,0.00004226629,0.0001893929,0.0002039402,0.0237018],"genre_scores_gemma":[0.9945915,0.0003303409,0.002723199,0.00003021889,0.00008901211,0.00002045023,0.00009897052,0.00002434022,0.00209183],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004600787,"threshold_uncertainty_score":0.01539117,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0734479459181282,"score_gpt":0.2622103617543673,"score_spread":0.1887624158362392,"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."}}