{"id":"W3216422773","doi":"10.1016/j.jalgebra.2023.06.039","title":"A Gröbner basis for Schubert patch ideals","year":2023,"lang":"de","type":"article","venue":"Journal of Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Gröbner basis; Pure mathematics; Basis (linear algebra); Algebra over a field; Polynomial; Mathematical analysis; Geometry","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":[0.001065375,0.0008254625,0.001305039,0.002338531,0.002012877,0.00342687,0.001432561,0.001015823,0.009896171],"category_scores_gemma":[0.001328569,0.0006735101,0.0006721347,0.00151663,0.002978892,0.003982535,0.002853583,0.004049689,0.002294274],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009887514,"about_ca_system_score_gemma":0.0005359642,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000663122,"about_ca_topic_score_gemma":0.0007099711,"domain_scores_codex":[0.999249,0.0001333738,0.00002994869,0.0001323685,0.0002444065,0.0002108292],"domain_scores_gemma":[0.9994823,0.0001408293,0.00005753556,0.00006286532,0.0001137341,0.0001426804],"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":[0.00007611961,0.00006762371,0.0001121226,0.0000361318,0.000008961912,0.00006243063,0.0002259035,0.0006171701,0.002150912,0.9883451,0.001299629,0.00699775],"study_design_scores_gemma":[0.00003426536,0.00002866507,0.0001936511,0.00001161923,0.0000099499,0.00007007393,0.00009726677,0.003133897,0.0009736068,0.9921784,0.003253593,0.00001508396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.469881,0.001510262,0.2720148,0.002820727,0.001005081,0.0002692025,0.0006969192,0.000774279,0.2510277],"genre_scores_gemma":[0.9144765,0.0006776192,0.04418558,0.0004746164,0.0007710211,0.0001503134,0.0006492457,0.0002732112,0.03834178],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009896171,"threshold_uncertainty_score":0.03310597,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0574067943339147,"score_gpt":0.3501698725984578,"score_spread":0.2927630782645431,"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."}}