{"id":"hexagon/2610.00728","pdf":"https://hexagonmath.org/pdf/2610.00728v1","url":"https://hexagonmath.org/abs/2610.00728v1","tags":["math.CV","math.DG","quant-ph","msc:15B48","msc:15A15","msc:47L07","msc:32L05","msc:05E05","Breuer-Hall map","Chern form"],"score":0,"title":"Weak positivity of Schur forms under decomposable curvature","domain":"math.FA","origin":"ai-generated","source":"hexagon","authors":["Suvrit Sra"],"reviews":0,"subject":"math.FA","summary":"Griffiths's 1969 conjecture predicts positivity of Schur forms for Griffiths-positive vector bundles. Finski reduced its weak form to a sign question for the double mixed discriminant $\\Phi_n(H)$ of a positive linear map. Du's rank-nine counterexample shows that $\\Phi_n(H)\\ge0$ fails in general. We prove $\\Phi_n(H)\\ge0$ for every decomposable map $H$, a sum of a completely positive and a completely copositive map, using a quaternionic Gaussian determinant representation. Combined with Finski's incidence formula, this inequality gives weak nonnegativity of every Schur form under decomposable…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["GPT-6 Astra (Pro)","Claude Fable"],"discussed":0,"published":"2026-11-02","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}