{"id":"W2472719895","doi":"10.1007/s40316-016-0068-4","title":"On the Mahler measure of hyperelliptic families","year":2016,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Australian Research Council; Université de Montréal; Max-Planck-Gesellschaft; Centre de Recherches Mathématiques","keywords":"Measure (data warehouse); Zero (linguistics); Genus; Elliptic curve; Class (philosophy)","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008904265,0.0004344294,0.0005756934,0.0001409195,0.0001705069,0.00005781412,0.0006938409,0.0002230296,0.005555059],"category_scores_gemma":[0.001588767,0.0002377805,0.0003515757,0.0002639323,0.0004275404,0.0002095516,0.0001640742,0.000236783,0.002387626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002266055,"about_ca_system_score_gemma":0.0004031736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003837228,"about_ca_topic_score_gemma":0.008750019,"domain_scores_codex":[0.9974392,0.0004549373,0.0007364102,0.0003392454,0.0005489475,0.000481237],"domain_scores_gemma":[0.9942804,0.003831228,0.0004189021,0.00098263,0.0003752694,0.0001115557],"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":[0.00007167477,0.0005894362,0.0006946485,0.0007695909,0.000289757,0.00002018262,0.003528737,0.000005184706,0.001313258,0.8295401,0.1488636,0.0143138],"study_design_scores_gemma":[0.001046472,0.001325796,0.004935249,0.006098794,0.000496879,0.000178915,0.001732874,0.0004309165,0.01512879,0.6288779,0.3385606,0.001186831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8728087,0.005769399,0.004517883,0.08524279,0.0004656335,0.0005127605,0.00007810073,0.0001455619,0.03045917],"genre_scores_gemma":[0.9463735,0.0009599665,0.0008827801,0.0008573432,0.0002422015,0.00004316042,0.000001288979,0.00006979383,0.05056995],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2006622,"threshold_uncertainty_score":0.9983891,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03932285864036228,"score_gpt":0.2453690018272108,"score_spread":0.2060461431868485,"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."}}