{"id":"W4414268727","doi":"10.4153/s0008414x25101557","title":"On (2,2)-decomposable genus 4 Jacobians","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Quartic function; Jacobian matrix and determinant; Genus; Quartic plane curve; Abelian group; Locus (genetics); Dimension (graph theory)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003245047,0.000131706,0.0003498285,0.0003251478,0.0001378485,0.00006252382,0.0002700021,0.00008325825,0.0001710212],"category_scores_gemma":[0.001030488,0.0001069518,0.0001411687,0.0002231243,0.00004896042,0.00006707531,0.000009152475,0.0002041878,0.00003165136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002014528,"about_ca_system_score_gemma":0.0004859079,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001693953,"about_ca_topic_score_gemma":0.004232145,"domain_scores_codex":[0.9988388,0.00003661794,0.0006190831,0.00008469385,0.0001709802,0.0002498719],"domain_scores_gemma":[0.998374,0.0005852976,0.0002936025,0.0002549273,0.0001952677,0.0002968356],"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":[0.000004156869,0.0001028079,0.0001003183,0.0001596665,0.00007819477,0.00003771816,0.0003144149,0.0002342911,0.00005736223,0.9867786,0.01065821,0.001474235],"study_design_scores_gemma":[0.0004522586,0.00008972283,0.00005760612,0.0005821972,0.00007421752,0.00004784227,0.000404842,0.002387885,0.0001350979,0.9895042,0.006126032,0.0001380992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3654054,0.000201694,0.594213,0.0007845346,0.001177523,0.0003030911,0.00002893771,0.00002398211,0.03786181],"genre_scores_gemma":[0.9569812,0.000004857596,0.03966097,0.000171128,0.00008523672,0.000003573491,0.000001355259,0.00002364685,0.003068076],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5915757,"threshold_uncertainty_score":0.4361367,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0264520358211808,"score_gpt":0.2985088827025117,"score_spread":0.2720568468813309,"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."}}