Scalar-Flat Kaehler Surfaces of All Genera
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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.
37 pages, LaTeX with PicTeX diagrams
37 pages, LaTeX with PicTeX diagrams