Blowing up and desingularizing constant scalar curvature Kähler manifolds

Details Blowing up and desingularizing constant scalar curvature Kähler manifolds Blowing up and desingularizing constant scalar curvature Kähler manifolds

2004-11-23

arxiv.org/abs/math/0411522v3

Mathematics

Differential Geometry

Greatly revised version. 43 pages

Scientific paper

This paper is concerned with the existence of constant scalar curvature
Kaehler metrics on blow ups at finitely many points of compact manifolds which
already carry constant scalar curvature Kaehler metrics. We also consider the
desingularization of isolated quotient singularities of compact orbifolds which
already carry constant scalar curvature Kaehler metrics.

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