{"id":"W2788841649","doi":"10.1093/imrn/rnz067","title":"Canonical Heights on Hyper-Kähler Varieties and the Kawaguchi–Silverman Conjecture","year":2019,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Endomorphism; Mathematics; Conjecture; Automorphism; Dimension (graph theory); Projective variety; Variety (cybernetics); Pure mathematics; Combinatorics; Orbit (dynamics); Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0004246075,0.0002879518,0.0002810093,0.001191281,0.0007121256,0.001394524,0.0003512739,0.0004213981,0.002603837],"category_scores_gemma":[0.001251774,0.0002156799,0.0003395123,0.000612329,0.001878847,0.001930263,0.001541003,0.0006040196,0.0003014458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009415187,"about_ca_system_score_gemma":0.0002762158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009550077,"about_ca_topic_score_gemma":0.0009049696,"domain_scores_codex":[0.9996756,0.00004772631,0.00001409324,0.00007292086,0.00009623462,0.00009333546],"domain_scores_gemma":[0.9995226,0.0001378619,0.00008018416,0.00006613853,0.00006205163,0.0001311232],"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":[0.00005657789,0.00001642476,0.003927847,0.0000214428,0.000005211625,0.0001731552,0.000362855,0.002115654,0.00247299,0.9851348,0.0008201207,0.004892961],"study_design_scores_gemma":[0.0000317605,0.00005350865,0.008682118,0.00002058444,0.00001400916,0.0003780079,0.0006066991,0.01616025,0.003235778,0.9658149,0.004972082,0.00003023466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9685677,0.0002105954,0.01190477,0.0004474293,0.00004357606,0.000006364315,0.00005685233,0.00007906748,0.01868365],"genre_scores_gemma":[0.9970897,0.00006835331,0.00109819,0.00002464858,0.00002710679,0.00000566661,0.00003641396,0.000008420677,0.00164146],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002603837,"threshold_uncertainty_score":0.008710682,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.126366111699239,"score_gpt":0.4157675966328837,"score_spread":0.2894014849336446,"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."}}