Existence and Deformation Theory for Scalar-Flat Kaehler Metrics on Compact Complex Surfaces

Claude LeBrun; Michael Singer

doi:10.1007/bf01232436

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arXiv · alg-geom/9302006

Existence and Deformation Theory for Scalar-Flat Kaehler Metrics on Compact Complex Surfaces

Claude LeBrun·Michael Singer

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Abstract

Let M be a compact complex surface which admits a Kaehler metric whose scalar curvature has integral zero; and suppose the fundamental group of M does not contain an Abelian subgroup of finite index. Then if M is blown up at sufficiently many points, the resulting surface M' admits scalar-flat Kaehler metrics.

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BibTeX RIS

Claude LeBrun, Michael Singer. 1993-02-23. Existence and Deformation Theory for Scalar-Flat Kaehler Metrics on Compact Complex Surfaces. https://doi.org/10.1007/bf01232436

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