{"id":"W1656838262","doi":"10.1090/s0002-9947-01-02876-8","title":"A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves","year":2001,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Moduli space; Euler's formula; Euler characteristic; Algebraic number; Moduli of algebraic curves; Pure mathematics; Moduli; Modular equation; Enumeration; Algebra over a field; Mathematical analysis; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008945232,0.001437759,0.0005091886,0.004149438,0.001152165,0.00385612,0.001396581,0.001001381,0.02485689],"category_scores_gemma":[0.002900561,0.0004148587,0.0006723743,0.001798205,0.002209735,0.005824679,0.002361715,0.002194849,0.007745449],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001725475,"about_ca_system_score_gemma":0.0006161078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008156135,"about_ca_topic_score_gemma":0.0006462368,"domain_scores_codex":[0.9993249,0.0001271284,0.00005116332,0.0001836876,0.0002093365,0.0001038612],"domain_scores_gemma":[0.9994628,0.0001343596,0.0000980278,0.00008945585,0.0001432363,0.00007209838],"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":[0.00000831437,0.000005803,0.0001373216,0.00003030428,0.000002611562,0.0000458931,0.0001119056,0.0008072064,0.0005733034,0.9890399,0.001886677,0.007350851],"study_design_scores_gemma":[0.00001102116,0.00001609935,0.0004657992,0.00007600469,0.000009182507,0.0002108897,0.0002259114,0.00728599,0.002009989,0.932355,0.05730269,0.00003137793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1166391,0.001893879,0.5390917,0.00305755,0.001248885,0.0001941623,0.001891424,0.001152814,0.3348305],"genre_scores_gemma":[0.8067002,0.001767937,0.1086262,0.0005438544,0.0009054343,0.000380657,0.00183966,0.001877784,0.07735828],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02485689,"threshold_uncertainty_score":0.08315462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03415822641320707,"score_gpt":0.2896236929803244,"score_spread":0.2554654665671173,"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."}}