{"id":"W2071552450","doi":"10.1090/s0002-9939-2013-11548-0","title":"Balanced metrics and Chow stability of projective bundles over Riemann surfaces","year":2013,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Compact Riemann surface; Vector bundle; Rank (graph theory); Pure mathematics; Scalar curvature; Riemann surface; Genus; Mathematical analysis; Combinatorics; Curvature; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00122589,0.0004906363,0.001652507,0.00006822931,0.0001184508,0.00009260746,0.0009781828,0.0002210951,0.00009653374],"category_scores_gemma":[0.002286868,0.0003286644,0.0007118465,0.0009037558,0.001614082,0.0001382149,0.002206071,0.0007163308,0.000002065875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000110558,"about_ca_system_score_gemma":0.00007821862,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001358584,"about_ca_topic_score_gemma":0.000001161332,"domain_scores_codex":[0.9971179,0.00004112147,0.0009260427,0.000611865,0.0008887407,0.0004143536],"domain_scores_gemma":[0.9951616,0.001158307,0.002312825,0.0004905899,0.0007603092,0.0001164057],"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":[0.0003264676,0.006860304,0.1995015,0.09983724,0.00579207,4.599204e-7,0.05046474,0.00001617784,0.04243471,0.5723944,0.02002228,0.002349715],"study_design_scores_gemma":[0.0002975504,0.0001857648,0.02151464,0.0005774133,0.0004334135,0.000004175976,0.007201554,0.00321963,0.01524312,0.9508184,0.00002612522,0.0004782466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9951422,0.0001041787,0.0004143304,0.0003022166,0.00004976438,0.0013317,0.00006592835,0.00007959211,0.002510152],"genre_scores_gemma":[0.9345653,0.00008490419,0.06498483,0.00004623136,0.0000441843,0.0001076857,0.000001113349,0.00004718739,0.0001185445],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.378424,"threshold_uncertainty_score":0.9999166,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04296229688593159,"score_gpt":0.2968540544319795,"score_spread":0.253891757546048,"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."}}