Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds

2013/02/27 by Chi Li, Li, Chi · 4 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1302.6681

Abstract

In this note, using the recent compactness results of Tian and Chen-Donaldson-Sun, we prove the K-semistable version of Yau-Tian-Donaldson correspondence for Fano manifolds.

Citations

• Bergman kernels and the pseudoeffectivity of relative canonical bundles

Cited by

• The CR Yamabe invariant and constant scalar curvature Sasaki metrics
• Connecting toric manifolds by conical Kahler-Einstein metrics
• Remarks on modified Ding functional for toric Fano manifolds
• Kähler-Einstein metrics and volume minimization

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