From Riemann and Kodaira to modern developments on complex manifolds

Shing-Tung Yau

Algebraic Geometry mathscidoc:1912.43702

Japanese Journal of Mathematics, 11, (2), 265-303, 2016.9
We survey the theory of complex manifolds that are related to Riemann surface, Hodge theory, Chern class, Kodaira embedding and HirzebruchRiemannRoch, and some modern development of uniformization theorems, KhlerEinstein metric and the theory of DonaldsonUhlenbeckYau on Hermitian YangMills connections. We emphasize mathematical ideas related to physics. At the end, we identify possible future research directions and raise some important open questions.
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@inproceedings{shing-tung2016from,
  title={From Riemann and Kodaira to modern developments on complex manifolds},
  author={Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205105292270266},
  booktitle={Japanese Journal of Mathematics},
  volume={11},
  number={2},
  pages={265-303},
  year={2016},
}
Shing-Tung Yau. From Riemann and Kodaira to modern developments on complex manifolds. 2016. Vol. 11. In Japanese Journal of Mathematics. pp.265-303. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205105292270266.
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