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Gromov-Hausdorff limits of Khler manifolds and algebraic geometry

Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43450

Acta Mathematica, 2014
The main purpose of this paper is to prove a general result about the geometry of holomorphic line bundles over Khler manifolds. This result is essentially a partial verification of a conjecture of Tian [30] and Tian has, over many years, highlighted the importance of the question for the existence theory of KhlerEinstein metrics. We will begin by stating this main result.
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@inproceedings{simon2014gromov-hausdorff,
  title={Gromov-Hausdorff limits of Khler manifolds and algebraic geometry},
  author={Simon Donaldson, and SONG SUN},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114522108120010},
  booktitle={Acta Mathematica},
  year={2014},
}
Simon Donaldson, and SONG SUN. Gromov-Hausdorff limits of Khler manifolds and algebraic geometry. 2014. In Acta Mathematica. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114522108120010.
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