{"id":"W1964502992","doi":"10.1016/j.aim.2013.05.027","title":"Asymptotic resurgences for ideals of positive dimensional subschemes of projective space","year":2013,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ideal (ethics); Conjecture; Pure mathematics; Projective space; Space (punctuation); Focus (optics); Polynomial ring; Scheme (mathematics); Discrete mathematics; Polynomial; Projective test; Algebra over a field; Mathematical analysis; Computer science; Law; Physics","routes":{"ca_aff":true,"ca_fund":true,"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"],"consensus_categories":[],"category_scores_codex":[0.0006469734,0.0003396694,0.001070873,0.0002292478,0.0000472177,0.00001287698,0.0004740937,0.0001899087,0.0000528144],"category_scores_gemma":[0.001633936,0.0002917573,0.0002309761,0.0002616073,0.0003019729,0.0001681223,0.0003929676,0.0002918418,0.000003234783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006680326,"about_ca_system_score_gemma":0.0001734693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002449475,"about_ca_topic_score_gemma":0.00003860825,"domain_scores_codex":[0.9976844,0.00009329083,0.001192257,0.000381562,0.0003930871,0.000255377],"domain_scores_gemma":[0.9911745,0.005814438,0.001589669,0.0006578005,0.0007196851,0.00004397678],"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":[0.00003564545,0.00075495,0.0003931655,0.005394354,0.0001805955,5.647454e-7,0.006214345,0.0003545481,0.0008154851,0.9845814,0.0002834201,0.0009915703],"study_design_scores_gemma":[0.0002767536,0.00009201528,0.0003501315,0.001761142,0.0001173515,0.000001916022,0.001318393,0.002842318,0.0147549,0.9781511,0.00006587213,0.0002680523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8893846,0.005568972,0.08399324,0.0004210547,0.0003443095,0.008370191,0.0009023217,0.00008224701,0.01093303],"genre_scores_gemma":[0.5408561,0.000472176,0.4572698,0.000008973163,0.00003999937,0.001010716,0.00004410895,0.00005748061,0.0002406311],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3732766,"threshold_uncertainty_score":0.9999534,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04335756946697653,"score_gpt":0.3778181945128775,"score_spread":0.334460625045901,"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."}}