{"id":"W1983669472","doi":"10.1090/s0025-5718-07-01962-x","title":"K3 surfaces with Picard number three and canonical vector heights","year":2007,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"National Science Foundation","keywords":"Mathematics; Picard group; Moduli space; K3 surface; Pure mathematics; Rational number; Computation; Moduli; Argument (complex analysis); Algebra over a field; Algorithm; Group (periodic table)","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":[0.0003030814,0.0006675432,0.0004677984,0.001501809,0.001772019,0.002406919,0.0004545611,0.0007723059,0.007102405],"category_scores_gemma":[0.001049153,0.0003540242,0.000732031,0.0007737952,0.002175576,0.002522642,0.002149742,0.001899855,0.001381934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001103629,"about_ca_system_score_gemma":0.0003688456,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001547398,"about_ca_topic_score_gemma":0.0008931813,"domain_scores_codex":[0.9996126,0.00004827848,0.00001667804,0.00007397369,0.0001244535,0.0001240037],"domain_scores_gemma":[0.9996746,0.00008454612,0.00003650926,0.00005174208,0.00007121209,0.00008138076],"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":[0.00006365824,0.00001611554,0.001109566,0.00005209025,0.000009521188,0.0004703196,0.0007312153,0.0009338354,0.003935452,0.9824694,0.001326809,0.008881908],"study_design_scores_gemma":[0.0000349075,0.00006576121,0.004017074,0.00005968351,0.0000445759,0.002359918,0.001364626,0.01323641,0.01432504,0.9328201,0.03158416,0.00008783172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7742835,0.0007125217,0.07475576,0.001153881,0.0002995049,0.00005107179,0.000311382,0.0008304198,0.147602],"genre_scores_gemma":[0.9770642,0.000300812,0.008256209,0.0001627266,0.00006200062,0.00002285675,0.0002227615,0.0001970667,0.01371151],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007102405,"threshold_uncertainty_score":0.0237599,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02435014413489743,"score_gpt":0.2930819721935818,"score_spread":0.2687318280586844,"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."}}