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On the ADM mass of K\"ahler scalar flat ALE metrics
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In this paper we study the behaviour of scalar flat K\"ahler ALE spaces and their ADM mass under blow ups. In particular we prove that by blowing up sufficiently many points at sufficiently big mutual distance one can produce scalar flat metrics with arbitrarily large ADM mass. A general machinery for producing scalar flat non Ricci flat ALE spaces of zero ADM mass is also presented, using and integrating previous work by Rollin-Singer and Hein-LeBrun.
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Cited by 1 Pith paper
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Curvature at infinity of scalar-flat ALE four-manifolds
Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.
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