1994/09/09 by Jongsu Kim, Claude LeBrun, Kim, Jongsu +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.dg-ga/9409002
openalex publication_date 1994/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (M,J) be a compact complex 2-manifold which which admits a Kaehler metric for which the integral of the scalar curvature is non-negative. Also suppose that M does not admit a Ricci-flat Kähler metric. Then if M is blown up at sufficiently many points, the resulting complex surface admits Kaehler metrics with scalar curvature identically equal to zero.