On the constant scalar curvature Kähler metrics (I)—A priori estimates

Chen, Xiuxiong; Cheng, Jingrui

doi:10.1090/jams/967

On the constant scalar curvature Kähler metrics (I)—A priori estimates
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by Xiuxiong Chen and Jingrui Cheng

J. Amer. Math. Soc. 34 (2021), 909-936

DOI: https://doi.org/10.1090/jams/967

Published electronically: June 7, 2021

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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.

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