{"id":"W4383819895","doi":"10.1007/s00209-023-03313-7","title":"Degenerations and multiplicity-free formulas for products of $$\\psi $$ and $$\\omega $$ classes on $$\\overline{M}_{0,n}$$","year":2023,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Combinatorics; Omega; Multiplicity (mathematics); Hyperplane; Cardinality (data modeling); Boundary (topology); Product (mathematics); Discrete mathematics; Geometry; Mathematical analysis; Physics","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":[0.001548108,0.001114531,0.0008764718,0.004424455,0.00372417,0.005309351,0.001934115,0.001349691,0.01073883],"category_scores_gemma":[0.005148276,0.0009876898,0.001372318,0.002446504,0.004005521,0.009268731,0.004125026,0.003960735,0.00140242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00304708,"about_ca_system_score_gemma":0.0006828793,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001166714,"about_ca_topic_score_gemma":0.001382741,"domain_scores_codex":[0.9987249,0.0002434935,0.0001000381,0.0002506329,0.0003954537,0.0002854018],"domain_scores_gemma":[0.9976635,0.001036203,0.0003015131,0.0001922126,0.0004004717,0.0004061815],"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":[0.00002435129,0.00001174064,0.0002385643,0.00001417131,0.000004413507,0.00009193333,0.0002535034,0.0001202119,0.0003181705,0.9955687,0.0007586153,0.002595666],"study_design_scores_gemma":[0.00001029897,0.00001051032,0.0002942971,0.00001341368,0.00001169348,0.0001889642,0.0001383636,0.001410483,0.0005067601,0.9945453,0.002854665,0.00001519529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5338621,0.001477093,0.2394514,0.003913927,0.001523347,0.0001207582,0.0007719541,0.0006248408,0.2182546],"genre_scores_gemma":[0.9285288,0.0007107374,0.02385459,0.0006919326,0.0006863306,0.0001400533,0.0005219471,0.0003350943,0.04453037],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01073883,"threshold_uncertainty_score":0.03592491,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0670490208336186,"score_gpt":0.3346222442277496,"score_spread":0.267573223394131,"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."}}