Blowing up and Desinguarizing Kähler Orbifolds of Constant Scalar Curvature Claudio Arezzo and Frank Pacard


To describe our results let us recall that, given a compact complex orbifoldM and a fixed Kähler class [ω], there is an obstruction for the existence of a Kähler constant scalar curvature (orbifold) metric, which holds in the larger class of extremal metrics. This obstruction was discovered by Futaki in the late eighties [13] in the context of Kähler… (More)