On the Kummer construction for Kcsc metrics
Differential Geometry
2015-07-21 v1
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.
Cite
@article{arxiv.1507.05105,
title = {On the Kummer construction for Kcsc metrics},
author = {Claudio Arezzo and Riccardo Lena and Lorenzo Mazzieri},
journal= {arXiv preprint arXiv:1507.05105},
year = {2015}
}
Comments
This paper, together with the previous one by the same authors, contains more general results than arXiv:1402.5919 (by the same authors), which will then be withdrawn