{"id":"W3154723035","doi":"10.1016/j.aim.2022.108638","title":"Cohomology of the moduli stack of algebraic vector bundles","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Väisälän Rahasto; H2020 Marie Skłodowska-Curie Actions; Horizon 2020; Suomalainen Tiedeakatemia; European Commission","keywords":"Mathematics; Vector bundle; Stack (abstract data type); Chern class; Pure mathematics; Sheaf; Moduli; Multiplicative function; Rank (graph theory); Cohomology; Scheme (mathematics); Tautological line bundle; Moduli space; Algebra over a field; Combinatorics; Mathematical analysis; Normal bundle; Frame bundle","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":[],"consensus_categories":[],"category_scores_codex":[0.0008534192,0.0001507902,0.0004689975,0.0001031134,0.00009129375,0.000002629503,0.0006557786,0.0000472311,0.0006598972],"category_scores_gemma":[0.0007697292,0.0001161193,0.0001259711,0.0005777853,0.0002919935,0.0001021119,0.0003852809,0.0002579548,0.000003586654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005012395,"about_ca_system_score_gemma":0.00004594232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003510983,"about_ca_topic_score_gemma":0.00001000691,"domain_scores_codex":[0.9983061,0.0002200784,0.0006761453,0.0001685527,0.0004069453,0.0002221791],"domain_scores_gemma":[0.9972105,0.001494359,0.0005804573,0.000640291,0.00005060541,0.00002380619],"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":[0.00002805437,0.0007137649,0.001967568,0.0008886048,0.00004079611,0.000003199285,0.003490221,0.0005132282,0.0006171509,0.9909979,0.0001277492,0.0006117364],"study_design_scores_gemma":[0.000342007,0.00009133598,0.0003250202,0.00006654767,0.00003169131,0.00002415224,0.0027412,0.0002598878,0.00534611,0.9899566,0.0006946715,0.0001207605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9875529,0.00129379,0.002283752,0.0001143825,0.0004082377,0.0004328914,0.00004823929,0.00002937299,0.007836454],"genre_scores_gemma":[0.9876914,0.00006104821,0.01150903,0.00003235982,0.00002105657,0.00004875712,0.000001814279,0.00002625207,0.0006082623],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009225275,"threshold_uncertainty_score":0.7225412,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01881969697415757,"score_gpt":0.2898347983063371,"score_spread":0.2710151013321795,"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."}}