{"id":"d13d6582-9228-4497-80f3-91efe8f4ffcc","arxiv_id":"2505.14000","paper_version":1,"verdict":"ACCEPT","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Two counterexamples refute Gonzales' fixed-data classification, and a corrected version with rational-surface reduced spaces is proved and shown to preserve Cho's Fano classification.","lead":"A pair of carefully built examples shows that the isomorphism type of a six-dimensional symplectic space with a circle symmetry is not fixed by the usual fixed point data. The paper then proves that adding two geometric assumptions, rational reduced spaces and at most one level of interior fixed surfaces, restores the classification and rescues an application to Fano manifolds.","discovery_kind":"extension","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-07T15:44:50.984819+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}