On the constant scalar curvature Kähler metrics, apriori estimates

Abstract

In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a $C^0$ bound for the Kähler potential. We also discuss some local versions of these estimates which can be of independent interest.

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• Convergence of cscK metrics on smooth minimal models of general type
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