{"id":"W3195175323","doi":"10.2478/aupcsm-2021-0007","title":"Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles","year":2021,"lang":"en","type":"preprint","venue":"Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; Royal Military College of Canada; Université du Québec à Montréal","funders":"","keywords":"Vector bundle; Endomorphism; Mathematics; Abelian group; Pure mathematics; Variety (cybernetics); Polynomial; Theta function; Algebra over a field; Simple (philosophy); Combinatorics; Mathematical analysis","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":[0.0007426105,0.0003024712,0.000547752,0.001841276,0.001060506,0.001832907,0.0006170795,0.0004764762,0.003317193],"category_scores_gemma":[0.002919987,0.0002390143,0.0005891689,0.0007410129,0.002571892,0.002937007,0.001603737,0.001141504,0.0002217593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001179032,"about_ca_system_score_gemma":0.0003397927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001376093,"about_ca_topic_score_gemma":0.0009327439,"domain_scores_codex":[0.9995281,0.00008867901,0.00002348555,0.0001212358,0.000138379,0.0001002579],"domain_scores_gemma":[0.9986783,0.0004138385,0.0002416166,0.0001319837,0.0002022114,0.0003320005],"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":[0.00003956986,0.00001484926,0.001836339,0.00002545785,0.000009331753,0.0001269294,0.0001950831,0.0009404172,0.001399269,0.9922056,0.0003461983,0.002860959],"study_design_scores_gemma":[0.00002562381,0.00008022197,0.007017761,0.00004732392,0.00002400214,0.0005881867,0.0004538892,0.02591645,0.003554514,0.9568362,0.005424483,0.00003130313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9012592,0.0006972062,0.06657855,0.0006718821,0.00006755257,0.00002694778,0.0001377308,0.00005203909,0.03050885],"genre_scores_gemma":[0.989796,0.000224088,0.004353044,0.00005157677,0.0000987288,0.00001516038,0.0001117801,0.00002348217,0.005326028],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003317193,"threshold_uncertainty_score":0.01109719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08743230483682894,"score_gpt":0.323697490661241,"score_spread":0.236265185824412,"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."}}