{"id":"W3119610098","doi":"10.1007/978-3-031-17859-7_14","title":"Quot-Scheme Limit of Fubini–Study Metrics and Its Applications to Balanced Metrics","year":2023,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Vector bundle; Mathematics; Pure mathematics; Hermitian matrix; Complement (music); Scheme (mathematics); Limit (mathematics); Holomorphic function; Space (punctuation); Conjecture; Algebra over a field; Mathematical analysis; Computer science","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":[0.002263655,0.001152216,0.001598472,0.003963768,0.002556961,0.004200414,0.001887982,0.002731023,0.008302568],"category_scores_gemma":[0.007296382,0.0006872506,0.001052663,0.002191334,0.003364554,0.007153598,0.003784751,0.002631237,0.001068845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002851573,"about_ca_system_score_gemma":0.001172774,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003178054,"about_ca_topic_score_gemma":0.00230116,"domain_scores_codex":[0.9993691,0.000203489,0.00004479524,0.000108846,0.0001853228,0.00008838951],"domain_scores_gemma":[0.998223,0.0004864504,0.0002224085,0.0001800614,0.0004075024,0.0004805693],"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":[0.000006719461,0.000006218316,0.00006026076,0.00001708215,0.000003467582,0.00002902789,0.00005728671,0.0004202775,0.0002475946,0.9973152,0.000542192,0.001294742],"study_design_scores_gemma":[0.000004759956,0.00000943951,0.0001537301,0.00001347069,0.000003652893,0.00007502691,0.00003926724,0.01163339,0.0001263401,0.9856838,0.002246561,0.00001046444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2874132,0.01602776,0.4196117,0.009029566,0.002405212,0.0001262217,0.0005405882,0.0006869771,0.2641587],"genre_scores_gemma":[0.8200421,0.005207146,0.0605282,0.001150687,0.002271492,0.0002116053,0.0004884833,0.0005597541,0.1095405],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008302568,"threshold_uncertainty_score":0.02777487,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09503604621003857,"score_gpt":0.3253584253029916,"score_spread":0.2303223790929531,"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."}}