{"id":"W2003099373","doi":"10.4153/cmb-2009-010-8","title":"Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Holomorphic function; Mathematics; Projective test; Complex projective space; Pure mathematics; Quaternionic projective space; Projective space; Several complex variables; Identity theorem","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.001440227,0.0004231288,0.0005616166,0.001791881,0.001391195,0.002296236,0.0005640298,0.0006719218,0.006443754],"category_scores_gemma":[0.003430513,0.000408349,0.0007608091,0.0008871188,0.005157922,0.005138957,0.003047015,0.002525616,0.0005825254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001231793,"about_ca_system_score_gemma":0.0004968906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001289251,"about_ca_topic_score_gemma":0.0009759965,"domain_scores_codex":[0.9989761,0.0001745445,0.00004423363,0.0003603478,0.0002747613,0.0001701169],"domain_scores_gemma":[0.9979394,0.0008086635,0.0001771127,0.0003687653,0.0004459301,0.0002600696],"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":[0.00002302901,0.000007666456,0.0003608233,0.00001945246,0.0000100062,0.00008969061,0.0002644554,0.0002675135,0.0006075777,0.9929193,0.001005561,0.004424967],"study_design_scores_gemma":[0.00003089008,0.00002110268,0.001509026,0.0000103874,0.00001222681,0.000201162,0.0001655734,0.002148522,0.000863941,0.9863564,0.00866737,0.00001348346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4574084,0.002191843,0.260469,0.005475821,0.000634397,0.00008437244,0.0005749381,0.0003504271,0.2728108],"genre_scores_gemma":[0.9676638,0.0005630814,0.0133105,0.0003766369,0.0003763223,0.00003905269,0.0002090718,0.00007383408,0.01738778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006443754,"threshold_uncertainty_score":0.02155656,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04567424709082209,"score_gpt":0.3085816793047503,"score_spread":0.2629074322139282,"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."}}