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Remarks on the Chern classes of Calabi-Yau moduli

Kefeng Liu Changyong Yin

Differential Geometry mathscidoc:1912.43133

arXiv preprint arXiv:1412.7221, 2014.12
We prove that the first Chern form of the moduli space of polarized Calabi-Yau manifolds, with the Hodge metric or the Weil-Petersson metric, represent the first Chern class of the canonical extensions of the tangent bundle to the compactification of the moduli space with normal crossing divisors.
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@inproceedings{kefeng2014remarks,
  title={Remarks on the Chern classes of Calabi-Yau moduli},
  author={Kefeng Liu, and Changyong Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111732378030693},
  booktitle={arXiv preprint arXiv:1412.7221},
  year={2014},
}
Kefeng Liu, and Changyong Yin. Remarks on the Chern classes of Calabi-Yau moduli. 2014. In arXiv preprint arXiv:1412.7221. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111732378030693.
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