Ricci flat Kahler metrics with edge singularities

2011/03/28 by Brendle, S. · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.5454

Abstract

We construct Ricci flat Kahler metrics with cone singularities along a complex hypersurface. This construction is inspired in part by R. Mazzeo's program in the case of negative Einstein constant, and uses the linear theory developed recently by S. Donaldson.

Cited by

• Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
• Variation of Kahler-Einstein metrics with mixed singularities

Related

• Scalar-flat Kähler metrics with varying cone angle singularities along a divisor
• ALE Ricci-flat Kahler surfaces and weighted projective spaces
• Second-order estimates for collapsed limits of Ricci-flat Kähler metrics
• Remarks on Singular Kähler-Einstein Metrics
• Calabi-Yau metrics with conical singularities along line arrangements