K-stability and Kähler-Einstein metrics

2012/11/20 by Tian, Gang · 9 citations
#14 Algebraic geometry #53 Differential geometry #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.4669

Abstract

In this new version, we correct some typos. For the readers' convenience, we also added some footnotes and more details for certain lemmas and theorems.

Cited by

• Fully non-linear elliptic equations on noncompact complex manifolds
• The maximal destabilizers for Chow and K-stability
• Two Calabi-Yau theorems for degenerations of compact Kähler manifolds
• A YTD correspondence for constant scalar curvature metrics
• On the effective YTD conjecture
• Conical Kähler-Einstein metrics on K-unstable del Pezzo surfaces
• Hölder estimates for degenerate complex Monge-Ampère equations
• K-stability of del Pezzo surfaces with a single quotient singularity
• Stability of non-supersymmetric vacua from calibrations

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