{"id":"W4389714035","doi":"10.48550/arxiv.2312.06930","title":"The Lichtenbaum-Quillen dimension of complex varieties","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Pure mathematics; Algebraic variety; Conjecture; Dimension (graph theory); Hodge conjecture; Fano plane; Cohomology; Algebraic cycle; Hodge theory; Algebraic geometry; Variety (cybernetics); Algebraic number; Algebra over a field; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007057771,0.0003645506,0.0003876814,0.003610031,0.001465921,0.003200033,0.0005695663,0.0005501047,0.003855347],"category_scores_gemma":[0.002876727,0.0002767797,0.000399098,0.001646883,0.003679743,0.004749713,0.001408795,0.000939195,0.0002631844],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001725254,"about_ca_system_score_gemma":0.000375056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001016679,"about_ca_topic_score_gemma":0.0009442222,"domain_scores_codex":[0.9994889,0.0001133164,0.00002371077,0.0001064884,0.0001456096,0.0001219602],"domain_scores_gemma":[0.9989079,0.0004865922,0.0001601266,0.000101712,0.0001141669,0.0002294428],"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":[0.00002042301,0.00001161343,0.002578266,0.0000217848,0.000007500942,0.0000699776,0.0003467691,0.0009532368,0.0006528471,0.9912966,0.0006508087,0.003390091],"study_design_scores_gemma":[0.00001010133,0.00001652785,0.004224985,0.00002790241,0.00001343089,0.0002059339,0.0002668426,0.007388895,0.001011249,0.9836873,0.003127678,0.00001920723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9347649,0.001361199,0.02046145,0.0009101224,0.00007155534,0.00001769203,0.0002035279,0.00008880433,0.04212074],"genre_scores_gemma":[0.996173,0.0002072576,0.001746722,0.00004485908,0.00004391036,0.00001117479,0.00008235141,0.000008402751,0.001682322],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003855347,"threshold_uncertainty_score":0.01289743,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.176722693056476,"score_gpt":0.2345646792669211,"score_spread":0.05784198621044512,"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."}}