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Khler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof

Xiuxiong Chen Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43448

Journal of the American Mathematical Society, 28, (1), 235-278, 2015
This is the third and final article in a series which prove the fact that a K-stable Fano manifold admits a Khler-Einstein metric. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle approaches 2\pi . We also put all our technical results together to complete the proof of the main theorem.
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@inproceedings{xiuxiong2015khler-einstein,
  title={Khler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof},
  author={Xiuxiong Chen, Simon Donaldson, and SONG SUN},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114516630765008},
  booktitle={Journal of the American Mathematical Society},
  volume={28},
  number={1},
  pages={235-278},
  year={2015},
}
Xiuxiong Chen, Simon Donaldson, and SONG SUN. Khler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof. 2015. Vol. 28. In Journal of the American Mathematical Society. pp.235-278. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114516630765008.
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