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arXiv · 1402.5919

On the resolution of constant scalar curvature K\"ahler orbifolds

C. Arezzo·R. Lena·L. Mazzieri
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Abstract

In this paper, given a compact Kcsc orbifolds of any dimension and with nontrivial holomorphic vector fields, we find sufficient conditions on the position of singular points in order to admit a Kcsc desingularization, generalizing the result of the first author with F. Pacard in the case of blowing up smooth points. A series of explicit examples are discussed.

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C. Arezzo, R. Lena, L. Mazzieri. 2014-02-24. On the resolution of constant scalar curvature K\"ahler orbifolds. https://arxiv.org/abs/1402.5919

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