K-stability and K\"ahler-Einstein metrics
Gang Tian
TL;DR
This paper discusses the relationship between K-stability and the existence of Kähler-Einstein metrics, providing theoretical insights into complex differential geometry.
Contribution
The paper offers refined theoretical results linking K-stability to Kähler-Einstein metrics, with clarifications and additional details in the revised version.
Findings
Clarified conditions for K-stability
Established new links between stability and metric existence
Enhanced theoretical framework with detailed lemmas
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry