{"id":"W2963781974","doi":"10.1016/j.jpaa.2010.04.024","title":"On the moduli stack of commutative, 1-parameter formal groups","year":2010,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Stack (abstract data type); Moduli; Prime (order theory); Stratification (seeds); Formal group; Pure mathematics; Algebraic number; Commutative property; Algebraic geometry; Algebra over a field; Combinatorics; Mathematical analysis; Computer science","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":[0.000420067,0.0001431627,0.0003278645,0.00005200222,0.0001024274,0.00003346991,0.0002662539,0.0001017244,0.0001109767],"category_scores_gemma":[0.0001250829,0.00007844819,0.0001132846,0.00007767749,0.0001124327,0.00009903986,0.00006518888,0.0006204774,0.000001456606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006621925,"about_ca_system_score_gemma":0.0000265515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.916411e-7,"about_ca_topic_score_gemma":0.000002484488,"domain_scores_codex":[0.9989839,0.00002909228,0.0004150231,0.00008287422,0.0003208414,0.0001682488],"domain_scores_gemma":[0.9983855,0.0007642733,0.0004740254,0.0002143122,0.00008881185,0.00007305703],"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":[0.0001155281,0.0000655082,0.00001685991,0.00002143976,0.00007645948,0.000001771915,0.0008114695,0.000004842079,0.002737289,0.9938285,0.001018843,0.001301529],"study_design_scores_gemma":[0.0006687198,0.000210546,0.0002361344,0.0000202935,0.00005116616,0.00003090991,0.0004356029,0.00004107465,0.00881914,0.9892538,0.0001420917,0.00009052732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9968293,0.00002742909,0.0008543328,0.000345477,0.0003199395,0.0001407708,0.000003137412,0.000005513906,0.001474145],"genre_scores_gemma":[0.9985473,0.000006485745,0.0009878868,0.0002121592,0.0002063169,0.000003369278,3.779747e-7,0.00001549957,0.00002058406],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006081852,"threshold_uncertainty_score":0.3199024,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01940266371937391,"score_gpt":0.2621619821326844,"score_spread":0.2427593184133105,"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."}}