Canonical K\"{a}hler metrics and stability of algebraic varieties
Chi Li
TL;DR
This paper surveys recent progress in understanding canonical Kähler metrics on algebraic varieties and explores their connection with stability concepts in algebraic geometry.
Contribution
It provides a comprehensive overview of recent developments linking Kähler geometry and algebraic stability.
Findings
Recent advances in canonical Kähler metrics
Connections between stability and metric existence
Overview of key conjectures and results
Abstract
We survey some recent developments in the study of canonical K\"{a}hler metrics on algebraic varieties and their relation with stability in algebraic geometry.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows