{"id":"W2063927368","doi":"10.1016/j.aim.2012.03.017","title":"Lifting tropical curves in space and linear systems on graphs","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Subvariety; Algebraic curve; Generalization; Euclidean space; Torus; Algebraic number; Graph; Space (punctuation); Algebraic properties; Euclidean geometry; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Computer science; Geometry","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":[0.0007217306,0.0007511789,0.0008286463,0.002639434,0.002436839,0.003466639,0.0008978786,0.0009525238,0.01200197],"category_scores_gemma":[0.002317195,0.0005520481,0.0009053111,0.002826848,0.004318371,0.008485741,0.003833292,0.004104517,0.001048696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001701218,"about_ca_system_score_gemma":0.000693016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001705184,"about_ca_topic_score_gemma":0.00153291,"domain_scores_codex":[0.999216,0.0001872424,0.00003675152,0.0001500989,0.0002301928,0.0001796742],"domain_scores_gemma":[0.9990525,0.0003404387,0.0001319157,0.0001685238,0.0001272261,0.0001793803],"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":[0.00001054093,0.000006821912,0.00007603251,0.00001402007,0.000002436187,0.00002237502,0.0001873805,0.0003804941,0.0001768688,0.9959512,0.00056366,0.002608339],"study_design_scores_gemma":[0.000006595402,0.000004948479,0.00007328512,0.000005547237,0.000003232926,0.0000287128,0.00008202848,0.0009954901,0.0001637137,0.9959252,0.002705886,0.000005388943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5978802,0.00265267,0.2196451,0.01032462,0.001191745,0.0001299928,0.0008640751,0.0005928738,0.1667188],"genre_scores_gemma":[0.9445251,0.001831338,0.0208731,0.0004652357,0.0009984238,0.00007841163,0.0004003936,0.0002061054,0.03062197],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01200197,"threshold_uncertainty_score":0.04015058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02014866565877416,"score_gpt":0.2859931284960013,"score_spread":0.2658444628372272,"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."}}