On the constant scalar curvature K\"ahler metrics-apriori estimates

Xiuxiong Chen Stony Brook University Jingrui Cheng Stony Brook University

Analysis of PDEs arXiv subject: Differential Geometry (math.DG) mathscidoc:2005.03003

In this paper, we derive apriori estimates for constant scalar curvature K\"ahler metrics on a compact K\"ahler manifold. We show that higher order derivatives can be estimated in terms of a $C^0$ bound for the K\"ahler potential. We also discuss some local versions of these estimates which can be of independent interest.
Kahler manifold, cscK metrics, apriori estimates
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@inproceedings{xiuxiongon,
  title={On the constant scalar curvature K\"ahler metrics-apriori estimates},
  author={Xiuxiong Chen, and Jingrui Cheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200513033859388496673},
}
Xiuxiong Chen, and Jingrui Cheng. On the constant scalar curvature K\"ahler metrics-apriori estimates. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200513033859388496673.
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