On the resolution of extremal and constant scalar curvature Kaehler orbifolds

Abstract

In this paper we give sufficient conditions on a compact orbifold with an extremal Kaehler metric to admit a resolution with an extremal Kaehler metric. We also complete the Kaehler constant scalar curvature case.

This paper, together with the next one by the same authors, contains more general results than arxiv.org/abs/1402.5919 (by the same authors), which will then be withdrawn