{"id":"W4403788608","doi":"10.1007/s44007-024-00100-6","title":"Explicit Canonical Heights for Divisors Relative to Endomorphisms of $$\\mathbb {P}^N$$","year":2024,"lang":"en","type":"article","venue":"La Matematica","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Endomorphism; Mathematics; Pure mathematics; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000782902,0.0002698134,0.000757457,0.0001486582,0.00006256971,0.0000957857,0.0002983443,0.0001600547,0.0004425024],"category_scores_gemma":[0.00142889,0.0001975476,0.0002772907,0.0002706228,0.00007104351,0.0001389103,0.0001208352,0.0001662261,0.0001674756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004810858,"about_ca_system_score_gemma":0.00006352677,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005828136,"about_ca_topic_score_gemma":0.000006851867,"domain_scores_codex":[0.9978761,0.00009205112,0.0009312183,0.0003510164,0.0003838231,0.0003657668],"domain_scores_gemma":[0.9933826,0.005684116,0.0001410545,0.0004966863,0.0001059445,0.0001896263],"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":[0.0000201182,0.0001544399,0.000001398588,0.004313326,0.000140852,0.00001531062,0.001556847,0.000002455554,0.001298415,0.9888054,0.003483432,0.0002080479],"study_design_scores_gemma":[0.0002583156,0.0001513816,0.0000128165,0.001481107,0.0001611975,0.00002367456,0.0001167492,0.01575215,0.001380631,0.9754255,0.004974518,0.0002619506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1359206,0.0002188059,0.7632495,0.002410107,0.0004557873,0.003920921,0.0004036649,0.0005121087,0.09290844],"genre_scores_gemma":[0.8676927,0.00001054765,0.1263557,0.0000739172,0.00006781779,0.0005119121,0.000009705278,0.0001008888,0.005176773],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7317721,"threshold_uncertainty_score":0.8055757,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05546163504811697,"score_gpt":0.3734401196028589,"score_spread":0.317978484554742,"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."}}