{"id":"W3172005211","doi":"10.1093/imrn/rnab136","title":"On <i>p</i>-adic Versions of the Manin–Mumford Conjecture","year":2021,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fields Institute for Research in Mathematical Sciences","keywords":"Subvariety; Mathematics; Abelian group; Conjecture; Abelian variety; Torsion (gastropod); Pure mathematics; Bounded function; Algebraic number; Algebraic group; Arithmetic of abelian varieties; Algebraic number field; Variety (cybernetics); Elementary abelian group; Mathematical analysis; Rank of an abelian group","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002124139,0.0004717606,0.0007446599,0.001768312,0.002312212,0.002439117,0.001092662,0.001397731,0.004853777],"category_scores_gemma":[0.006722407,0.000419342,0.000569802,0.001075634,0.005881423,0.005265451,0.003111868,0.002122186,0.0004974752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001346469,"about_ca_system_score_gemma":0.0004264674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008251238,"about_ca_topic_score_gemma":0.0005692006,"domain_scores_codex":[0.9988893,0.0002568724,0.00005599772,0.0003127251,0.0002521432,0.0002330538],"domain_scores_gemma":[0.9954851,0.002063677,0.0007003333,0.000701586,0.0004755175,0.0005739168],"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":[0.00006048796,0.00001654377,0.001550131,0.0000410679,0.000006221868,0.0001365271,0.000270414,0.001968159,0.0006099805,0.9920002,0.000658086,0.002682084],"study_design_scores_gemma":[0.00002175769,0.00006096813,0.002101196,0.00004946658,0.00001206283,0.0003827024,0.0003769321,0.01290889,0.00132478,0.9792255,0.003506818,0.00002903626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8399285,0.001660149,0.07520494,0.003082377,0.000238949,0.00003296721,0.0002188942,0.0002222336,0.07941093],"genre_scores_gemma":[0.9934551,0.0002144347,0.003667918,0.0001564981,0.0001177228,0.00002053517,0.0001020443,0.00001729078,0.00224832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004853777,"threshold_uncertainty_score":0.01623756,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1168258746657076,"score_gpt":0.411676368714594,"score_spread":0.2948504940488864,"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."}}