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ALE scalar-flat Kähler metrics on non-compact weighted projective spaces

2015/10/08 by Apostolov, Vestislav, Rollin, Yann
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.02226

Abstract

We construct new explicit toric scalar-flat Kähler ALE metrics on weighted projective spaces of non-compact type, which we use to obtain smooth extremal Kähler metrics on appropriate resolutions of orbifolds. In particular, we obtain new extremal metrics certain resolutions of weighted projective spaces of compact type.

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