K-stability of constant scalar curvature polarization
Differential Geometry
2008-12-30 v2 Algebraic Geometry
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." )
Keywords
Cite
@article{arxiv.0812.4093,
title = {K-stability of constant scalar curvature polarization},
author = {Toshiki Mabuchi},
journal= {arXiv preprint arXiv:0812.4093},
year = {2008}
}
Comments
Introduction of the version 1 is revised