{"id":"W2951597861","doi":"10.48550/arxiv.1310.2656","title":"A category of kernels for equivariant factorizations, II: further implications","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Derived category; Pure mathematics; Coherent sheaf; Algebraic variety; Triangulated category; Cohomology; Conjecture; Equivariant map; Variety (cybernetics); Noether's theorem; Commutative property; Hochschild homology; Bounded function; Algebra over a field; Invariant (physics); Algebraic number; Functor; 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":[0.0007614136,0.0003188222,0.0004166093,0.001435681,0.001789597,0.003794329,0.0007083414,0.001109627,0.006991433],"category_scores_gemma":[0.001635432,0.0002680749,0.0006421498,0.0006100432,0.005043375,0.008426171,0.00428038,0.001659445,0.000496808],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001248144,"about_ca_system_score_gemma":0.0004824159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001210107,"about_ca_topic_score_gemma":0.000756328,"domain_scores_codex":[0.9993238,0.0001241638,0.00003837602,0.0002075767,0.0001809655,0.0001251728],"domain_scores_gemma":[0.998919,0.0003592705,0.0001384261,0.0001902368,0.0001797003,0.0002134828],"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":[0.000009466619,0.00001265678,0.0005642716,0.00001926659,0.000002420928,0.00008126894,0.0002777488,0.0001943042,0.0005383136,0.9954708,0.0003690166,0.002460382],"study_design_scores_gemma":[0.000006353539,0.0000127058,0.0007675773,0.00001729012,0.000004134351,0.0002121974,0.0004064924,0.00151101,0.0004680033,0.991831,0.004754168,0.000009075241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6509069,0.003639082,0.1632889,0.007359829,0.00044924,0.00007747258,0.0005288626,0.0003392714,0.1734105],"genre_scores_gemma":[0.983982,0.0005217729,0.007504327,0.0002953541,0.0001552841,0.00003468262,0.0001699653,0.00003610482,0.007300431],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006991433,"threshold_uncertainty_score":0.02338874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1439750803781749,"score_gpt":0.2416811790037769,"score_spread":0.097706098625602,"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."}}