{"id":"W2097575838","doi":"10.2140/ant.2017.11.767","title":"Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one","year":2017,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Multiplicity (mathematics); Tensor product; Homogeneous; Boundary (topology); Flag (linear algebra); Product (mathematics); Line (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":[0.000686486,0.001116873,0.0007173752,0.004216619,0.002122026,0.004165603,0.0009173471,0.0005561276,0.01153919],"category_scores_gemma":[0.001343635,0.0006141707,0.000981301,0.002305971,0.003152903,0.004973507,0.00292186,0.001707758,0.00194152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001574024,"about_ca_system_score_gemma":0.000554596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001390674,"about_ca_topic_score_gemma":0.0008227627,"domain_scores_codex":[0.9990398,0.0001870539,0.00004576537,0.0001905633,0.0002397477,0.0002970905],"domain_scores_gemma":[0.9989681,0.0001702305,0.0001709376,0.0001090074,0.0002548517,0.0003269498],"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":[0.00002526435,0.00001221956,0.0001968583,0.00002983097,0.000008005668,0.0001819005,0.0003506422,0.0002285771,0.0004644058,0.9927276,0.001425938,0.004348732],"study_design_scores_gemma":[0.00002845295,0.00006052645,0.001484056,0.00003404532,0.00002902612,0.0005490634,0.0005341124,0.002880984,0.001487354,0.973527,0.01933802,0.00004732773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5888848,0.00169578,0.1093517,0.001967609,0.0007676191,0.0001427074,0.0008422739,0.001411559,0.2949359],"genre_scores_gemma":[0.9307644,0.0007016848,0.01197037,0.0003087638,0.0004492181,0.00008434551,0.0005206468,0.000287732,0.05491281],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01153919,"threshold_uncertainty_score":0.03860241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05533110563480885,"score_gpt":0.2987017243447706,"score_spread":0.2433706187099617,"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."}}