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Constant Scalar Curvature Kähler Metrics on Resolutions of an Orbifold Singularity of Depth 1

Published 5 Nov 2024 in math.DG, math.AG, and math.AP | (2411.02823v2)

Abstract: We construct new examples of constant scalar curvature K\"{a}hler metrics on suitable resolutions of certain constant scalar curvature K\"{a}hler orbifolds with type I singularities, in the sense of Apostolov--Rollin, along a suborbifold of complex codimension greater than 2.

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