{"id":"W4382404490","doi":"10.1007/s00574-023-00355-7","title":"Weierstrass Semigroups from Cyclic Covers of Hyperelliptic Curves","year":2023,"lang":"en","type":"article","venue":"Bulletin of the Brazilian Mathematical Society New Series","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Becton Dickinson (Canada)","funders":"","keywords":"Realizability; Hyperelliptic curve; Mathematics; Weierstrass functions; Meromorphic function; Semigroup; Hyperelliptic curve cryptography; Jacobian curve; Algebraic number; Divisor (algebraic geometry); Algebraic curve; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis; Elliptic curve; Algorithm","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":[0.0007527188,0.0006054158,0.000739445,0.003666946,0.001854784,0.003379333,0.0006249782,0.0007095511,0.007872747],"category_scores_gemma":[0.002029919,0.0004149224,0.001055721,0.001416504,0.002115205,0.002595607,0.002372832,0.001559881,0.0008166544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001547807,"about_ca_system_score_gemma":0.0007114334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006083571,"about_ca_topic_score_gemma":0.0005149257,"domain_scores_codex":[0.9992416,0.0001676891,0.00004601679,0.000121225,0.0002523835,0.0001711426],"domain_scores_gemma":[0.9982211,0.0006490311,0.0002567075,0.0001879692,0.0002363599,0.0004489024],"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":[0.00005730779,0.00001618452,0.0003325283,0.00003701566,0.00001241451,0.0002139112,0.0006184825,0.0006573991,0.002401371,0.991356,0.0005015564,0.003795842],"study_design_scores_gemma":[0.00002859937,0.00004939157,0.0009676231,0.00001981999,0.00001926231,0.0003188846,0.0002241815,0.002817601,0.001504778,0.9881138,0.005914079,0.00002197705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8016114,0.001945625,0.06876981,0.001220135,0.0005671931,0.00009655123,0.0006465878,0.0002717086,0.124871],"genre_scores_gemma":[0.9662184,0.0007621931,0.007945056,0.000140576,0.0006284678,0.00007341906,0.0004722992,0.0000946076,0.02366505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007872747,"threshold_uncertainty_score":0.02633703,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02097580625328612,"score_gpt":0.2553213485786122,"score_spread":0.234345542325326,"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."}}