{"id":"W2066318054","doi":"10.1016/j.crma.2005.03.022","title":"Vanishing of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <mml:msup> <mml:mi>H</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> for Dedekind rings and applications to loop algebras","year":2005,"lang":"lv","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Conjecture; Mathematics; Dedekind cut; Parametrization (atmospheric modeling); Algebra over a field; Pure mathematics; Physics","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":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001163703,0.00092352,0.000728681,0.0003605136,0.00110383,0.0007514765,0.00161391,0.001414722,0.001590005],"category_scores_gemma":[0.001573455,0.001354387,0.000794385,0.0006622112,0.0006911965,0.001010568,0.001584324,0.001320886,0.001153686],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007355052,"about_ca_system_score_gemma":0.0005733157,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001222395,"about_ca_topic_score_gemma":0.0002427036,"domain_scores_codex":[0.9935551,0.0001898044,0.002059035,0.001451365,0.001226918,0.001517786],"domain_scores_gemma":[0.99237,0.002502876,0.001833814,0.002314591,0.0002840208,0.0006946962],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002115531,0.0004543383,0.00001762778,0.002264875,0.0006117991,0.00007699702,0.003346242,0.0006246392,0.002607686,0.9724813,0.01375133,0.003551672],"study_design_scores_gemma":[0.003932242,0.001676851,0.0001261445,0.003301283,0.001918774,0.001418258,0.003394279,0.4040603,0.4368652,0.08222118,0.05800369,0.003081896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9347923,0.001586709,0.04444789,0.001091425,0.0007503342,0.0004677651,0.0005910404,0.0003660739,0.0159065],"genre_scores_gemma":[0.8847353,0.0007842993,0.1087189,0.0009520666,0.001435337,0.001865262,0.0003842101,0.0005861273,0.0005384178],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.89026,"threshold_uncertainty_score":0.9998816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02543260273050407,"score_gpt":0.2757061844155963,"score_spread":0.2502735816850922,"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."}}