A global Torelli Theorem for Calabi-Yau manifolds

Kefeng Liu Yang Shen Andrey Todorov

Algebraic Geometry mathscidoc:1912.43105

arXiv preprint arXiv:1112.1163, 2011.12
We describe the proof that the period map from the Torelli space of Calabi-Yau manifolds to the classifying space of polarized Hodge structures is an embedding. The proof is based on the constructions of holomorphic affine structure on the Teichmller space and Hodge metric completion of the Torelli space. A canonical global holomorphic section of the holomorphic (n, 0) class on the Teichmller space is constructed.
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@inproceedings{kefeng2011a,
  title={A global Torelli Theorem for Calabi-Yau manifolds},
  author={Kefeng Liu, Yang Shen, and Andrey Todorov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111556988738665},
  booktitle={arXiv preprint arXiv:1112.1163},
  year={2011},
}
Kefeng Liu, Yang Shen, and Andrey Todorov. A global Torelli Theorem for Calabi-Yau manifolds. 2011. In arXiv preprint arXiv:1112.1163. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111556988738665.
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