{"id":"W4414409474","doi":"10.1007/s00229-025-01668-1","title":"A non-abelian variant of the classical Mordell-Lang conjecture","year":2025,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Number theory; Algebraic geometry; Context (archaeology); Division (mathematics); Beal's conjecture; Collatz conjecture","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":[0.00155333,0.0004699969,0.0007709978,0.001285138,0.002365771,0.003338679,0.00125944,0.002011863,0.01325006],"category_scores_gemma":[0.00562138,0.0002940811,0.0007564393,0.001091855,0.004983203,0.007147342,0.003174386,0.003282787,0.002006265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001201927,"about_ca_system_score_gemma":0.0007030704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009471844,"about_ca_topic_score_gemma":0.0009421342,"domain_scores_codex":[0.9988897,0.000294341,0.00004574113,0.00023083,0.0003257825,0.0002135825],"domain_scores_gemma":[0.9971643,0.001316031,0.0002751497,0.0005163394,0.0004253421,0.0003028177],"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":[0.00004497552,0.00001754833,0.0002687506,0.00002790035,0.000005105591,0.000104658,0.0001247017,0.0002097792,0.0003064665,0.9940446,0.002866354,0.001979265],"study_design_scores_gemma":[0.00001549433,0.000008227854,0.0002783257,0.000008638562,0.000004477381,0.0001171601,0.00006330878,0.001153167,0.0001722456,0.9946098,0.003561775,0.00000741534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4105003,0.002893605,0.06559952,0.03025348,0.003895527,0.00005105535,0.0006506311,0.0005806044,0.4855753],"genre_scores_gemma":[0.9626192,0.0005802314,0.005407418,0.001938536,0.002081458,0.00003140858,0.0002663553,0.0000872673,0.02698794],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01325006,"threshold_uncertainty_score":0.04432583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02424971581822542,"score_gpt":0.2716087736860447,"score_spread":0.2473590578678193,"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."}}