{"id":"W2163613036","doi":"10.1090/s0002-9939-2013-11581-9","title":"The 𝑎-numbers of Jacobians of Suzuki curves","year":2013,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Colorado State University; National Science Foundation","keywords":"Jacobian matrix and determinant; Upper and lower bounds; Invariant (physics); Group (periodic table); Omega; Isomorphism (crystallography); Class (philosophy)","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002207576,0.0004580552,0.00147711,0.00003209476,0.0002899395,0.00004888439,0.001893656,0.0001516246,0.0004265664],"category_scores_gemma":[0.002864722,0.0002631718,0.001465774,0.001336835,0.005812072,0.0002236859,0.0007418672,0.0005655866,0.00005392381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006638806,"about_ca_system_score_gemma":0.00009627548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001210906,"about_ca_topic_score_gemma":7.653496e-7,"domain_scores_codex":[0.9960612,0.00004606807,0.001683655,0.0003600818,0.001169094,0.0006798767],"domain_scores_gemma":[0.9917961,0.00293763,0.003507397,0.0006336067,0.0009569632,0.00016833],"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":[0.0001525166,0.002789818,0.00937713,0.03950626,0.003505257,2.029012e-7,0.02642604,0.000001876681,0.0434454,0.7147244,0.1566163,0.003454739],"study_design_scores_gemma":[0.0004894197,0.0003753368,0.002392636,0.003706282,0.0009666168,0.00002100441,0.04720012,0.0006330109,0.05797827,0.8854774,0.0002586747,0.0005012852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9811987,0.0006939155,0.0001508416,0.004302237,0.0001017046,0.001259851,0.00003467069,0.00004175338,0.01221632],"genre_scores_gemma":[0.9894463,0.001148068,0.006510796,0.0003601909,0.0000756636,0.0000658371,5.796481e-7,0.00007639797,0.002316166],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1707529,"threshold_uncertainty_score":0.9999821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01262145649048962,"score_gpt":0.2534009137109331,"score_spread":0.2407794572204435,"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."}}