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arXiv · 0812.4093

K-stability of constant scalar curvature polarization

Toshiki Mabuchi
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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." )

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Toshiki Mabuchi. 2008-12-30. K-stability of constant scalar curvature polarization. https://arxiv.org/abs/0812.4093

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