{"id":"W2550268705","doi":"10.1090/s1056-3911-10-00537-0","title":"Secant varieties of ℙ¹×⋯×ℙ¹ (𝕟-times) are NOT defective for 𝕟≥5","year":2010,"lang":"lv","type":"article","venue":"Journal of Algebraic Geometry","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","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":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005803664,0.0008496854,0.00238347,0.001650779,0.0003446678,0.00014445,0.001381975,0.001031865,0.00287299],"category_scores_gemma":[0.009193974,0.0007502944,0.001778209,0.001541515,0.0007055952,0.0006423342,0.0003416468,0.002555057,0.0000859719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001418416,"about_ca_system_score_gemma":0.0007036112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002190762,"about_ca_topic_score_gemma":0.0000170824,"domain_scores_codex":[0.9938539,0.0003472801,0.002862704,0.0005687408,0.001309529,0.001057818],"domain_scores_gemma":[0.9847738,0.005655516,0.005509385,0.001065091,0.002396376,0.000599804],"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":[0.00488462,0.006221944,0.01281388,0.007907872,0.008948195,0.0001875991,0.01194569,0.00006738597,0.04807516,0.8610966,0.02575452,0.01209649],"study_design_scores_gemma":[0.005834974,0.002662702,0.009486648,0.001013378,0.002519179,0.0009343931,0.008737518,0.0001109636,0.09479173,0.8652365,0.007397565,0.001274446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9764812,0.001570153,0.01239653,0.0009650481,0.005520357,0.0007707754,0.0003086813,0.00003954628,0.001947689],"genre_scores_gemma":[0.9849528,0.0001366412,0.01021641,0.0003154397,0.001987416,0.00001441605,0.000008870914,0.0001624429,0.002205561],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04671657,"threshold_uncertainty_score":0.9997461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01783871532810757,"score_gpt":0.271695588063768,"score_spread":0.2538568727356604,"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."}}