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

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

1993-02-23

arxiv.org/abs/alg-geom/9302006v1

Mathematics

Algebraic Geometry

60 pages, LaTeX

Scientific paper

10.1007/BF01232436

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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