Scalar-Flat Kaehler Surfaces of All Genera

Details Scalar-Flat Kaehler Surfaces of All Genera Scalar-Flat Kaehler Surfaces of All Genera

1994-09-09

arxiv.org/abs/dg-ga/9409002v1

Mathematics

Differential Geometry

37 pages, LaTeX with PicTeX diagrams

Scientific paper

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 K\"ahler 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.

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