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K-stability of constant scalar curvature polarization

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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." )

fields

math.AG 1

years

2026 1

verdicts

unreviewed 1

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