{"id":"W2091675660","doi":"10.1016/j.jalgebra.2006.05.005","title":"Hypersurfaces in modular invariant theory","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Modular design; Invariant (physics); Invariant theory; Pure mathematics; Algebra over a field; Mathematical physics; Computer science; Programming language","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":[0.002316068,0.0001371517,0.0003503688,0.0002431007,0.00004255588,0.00002848939,0.0002756825,0.00009669214,0.0004751658],"category_scores_gemma":[0.0004484327,0.0001067611,0.0001436512,0.0002863855,0.00006470928,0.0002505579,0.00003959588,0.0003258832,0.00002869418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005050966,"about_ca_system_score_gemma":0.00005876854,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001019327,"about_ca_topic_score_gemma":0.000006444808,"domain_scores_codex":[0.9984766,0.0002343864,0.0006433167,0.0001044008,0.0003169067,0.000224431],"domain_scores_gemma":[0.998614,0.0006551036,0.0003925813,0.0001902924,0.00008702831,0.00006096254],"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":[0.0002228348,0.0004652987,0.002849925,0.00005743645,0.00009116184,0.0003573105,0.0006061359,0.000124282,0.004338808,0.9866744,0.003261142,0.0009513097],"study_design_scores_gemma":[0.0007615048,0.00008963126,0.005394541,0.00007729296,0.00003874571,0.0002427274,0.000504976,0.00003138149,0.004450756,0.987681,0.0005975275,0.000129974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9870684,0.0006503877,0.002092128,0.0003025547,0.0002364473,0.00006693399,0.000001259137,0.00001434119,0.009567558],"genre_scores_gemma":[0.9937525,0.00001906984,0.005028917,0.00009653846,0.0002527357,8.757148e-7,4.640601e-7,0.00002030452,0.0008286005],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008738957,"threshold_uncertainty_score":0.5202733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01746604506847575,"score_gpt":0.2561437176609637,"score_spread":0.2386776725924879,"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."}}