2015/07/11 by Claudio Arezzo, Arezzo, Claudio, Riccardo Lena +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.1507.05105
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one by the same authors, contains more general results than arXiv:1402.5919 (by the same authors), which will then be withdrawn
arxiv created 2015/07/11 · arxiv updated 2015/07/21
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.