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

By Xiuxiong Chen, Jingrui Cheng. Journal of The American Mathematical Society, 2017

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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 C^0 bound for the Kähler potential.

Subfields: Applied Mathematics, Geometry and Topology

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