Scalar-flat Kähler metrics with varying cone angle singularities along a divisor

2023/12/29 by Oliveira, Gonçalo, Sena-Dias, Rosa
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.17707

Abstract

Using an ansatz due to LeBrun we construct complete scalar-flat Kähler metrics with a prescribed varying conical singularity along a divisor.

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• Kahler metrics with cone singularities along a divisor
• Ricci flat Kahler metrics with edge singularities
• Singular scalar curvature equations
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