{"id":"W2030272032","doi":"10.4153/cmb-2002-037-0","title":"Very Ample Linear Systems on Blowings-Up at General Points of Projective Spaces","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Sheaf; Algebraically closed field; Divisor (algebraic geometry); Integer (computer science); Invertible matrix; Dimension (graph theory); Projective space; Pure mathematics; Discrete mathematics; Combinatorics; Projective test","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004487941,0.0005322833,0.0005392951,0.002636655,0.001693387,0.001848035,0.0004526737,0.0005472375,0.004777002],"category_scores_gemma":[0.001180634,0.0004543889,0.000455325,0.001059882,0.002488884,0.00207949,0.002895756,0.001125079,0.0004194721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001320707,"about_ca_system_score_gemma":0.000306971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001072004,"about_ca_topic_score_gemma":0.001530011,"domain_scores_codex":[0.9994753,0.00008429984,0.00002353614,0.00006859517,0.0001744687,0.0001737663],"domain_scores_gemma":[0.9994389,0.0001271624,0.0001278328,0.00004616695,0.00005595585,0.000203818],"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":[0.0001871421,0.0000929486,0.00460747,0.0001033373,0.00005015684,0.00243925,0.002162306,0.007627333,0.0105288,0.9554457,0.0009390435,0.01581654],"study_design_scores_gemma":[0.00008240873,0.0002301914,0.009104086,0.00005977703,0.00003665556,0.001383085,0.00140709,0.01566156,0.004742363,0.9598827,0.007360939,0.00004914045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9726715,0.0002781303,0.008997516,0.0001815776,0.00002655998,0.00002627055,0.00007445279,0.000102827,0.01764124],"genre_scores_gemma":[0.9939702,0.0001592418,0.002192303,0.00002117376,0.00004925132,0.00001587171,0.00008648041,0.00001442894,0.003491113],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004777002,"threshold_uncertainty_score":0.01598072,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03855178075704804,"score_gpt":0.2551301516095356,"score_spread":0.2165783708524875,"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."}}