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arXiv · 1507.05105

On the Kummer construction for Kcsc metrics

Claudio Arezzo·Riccardo Lena·Lorenzo Mazzieri
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Abstract

Given a compact constant scalar curvature Kaehler orbifold, with nontrivial holomorphic vector fields, whose singularities admit a local ALE Kaehler Ricci-flat resolution, we find sufficient conditions on the position of the singular points to ensure the existence of a global constant scalar curvature Kaehler desingularization. This generalizes the results previously obtained by the first author with F. Pacard. A series of explicit examples is discussed.

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Claudio Arezzo, Riccardo Lena, Lorenzo Mazzieri. 2015-07-11. On the Kummer construction for Kcsc metrics. https://arxiv.org/abs/1507.05105

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