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Scalar-Flat Kaehler Surfaces of All Genera

Jongsu Kim·Claude LeBrun·Massimiliano Pontecorvo
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Abstract

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.

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BibTeXRIS

Jongsu Kim, Claude LeBrun, Massimiliano Pontecorvo. 1994-09-09. Scalar-Flat Kaehler Surfaces of All Genera. https://arxiv.org/abs/dg-ga/9409002

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