K-stability of constant scalar curvature polarization

Abstract

In this paper, we shall show that a polarized algebraic manifold is K-stable if the polarization class admits a Kaehler metric of constant scalar curvature. This generalizes the results of Chen-Tian, Donaldson and Stoppa. (Parts of the arguments are based on a forthcoming paper "A stronger concept of K-stability." )

Introduction of the version 1 is revised

References in corpus (3)

• Lectures on Stability and Constant Scalar Curvature
• A stronger concept of K-stability
• K-stability of constant scalar curvature Kähler manifolds

Cited by in corpus (3)

• A stronger concept of K-stability
• Constant scalar curvature Kahler metric and K-energy
• Multiplier ideal sheaves and geometric problems