K-stability of constant scalar curvature polarization

Details K-stability of constant scalar curvature polarization K-stability of constant scalar curvature polarization

2008-12-22

arxiv.org/abs/0812.4093v2

Mathematics

Differential Geometry

Introduction of the version 1 is revised

Scientific paper

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."
)

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