{"id":"W2025028556","doi":"10.1112/blms/bdn008","title":"Primes of superspecial reduction for QM abelian surfaces","year":2008,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Abelian group; Reduction (mathematics); Good reduction; Pure mathematics; Geometry; Medicine","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":[0.0008937839,0.0001772008,0.0004802302,0.0000171908,0.0002020545,0.000005788279,0.0003968747,0.0001663228,0.0008530479],"category_scores_gemma":[0.0009560082,0.0001199998,0.0006936804,0.0001682212,0.0006183819,0.00002199284,0.0001151695,0.0001529965,0.00002520811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003181344,"about_ca_system_score_gemma":0.00004652251,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000879349,"about_ca_topic_score_gemma":1.73639e-7,"domain_scores_codex":[0.9984842,0.00009292213,0.0005745891,0.0002014367,0.0003974389,0.0002494478],"domain_scores_gemma":[0.9979833,0.001058002,0.000321894,0.0004578234,0.0001250876,0.00005392386],"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":[0.0002525901,0.001734678,0.0002372923,0.002737676,0.0005191215,6.634833e-7,0.01164428,0.00001442351,0.0194209,0.6347285,0.3283314,0.0003784639],"study_design_scores_gemma":[0.001124925,0.0001310785,0.0003006606,0.0002050541,0.0001682511,0.00005426188,0.002080625,0.00007418673,0.119759,0.8647197,0.01112915,0.0002530159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.988353,0.0001568167,0.002813303,0.002969795,0.0001974206,0.0007594457,0.00002336091,0.00005611003,0.00467073],"genre_scores_gemma":[0.8889345,0.00006686242,0.1010753,0.00007685449,0.0001883738,0.00003822504,0.000002499799,0.0000476069,0.009569836],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3172023,"threshold_uncertainty_score":0.9340276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03152290261685898,"score_gpt":0.268540513429164,"score_spread":0.237017610812305,"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."}}