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Boundedness of the period maps and global Torelli theorem

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Abstract

Recently, we proved the Griffiths conjecture on the boundedness of the period maps, and then used it to prove global Torelli theorem on the Torelli space under certain natural conditions. This paper serves as a review of these results and an introduction to the main ideas behind the proofs.

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Correspondence to Yang Shen.

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In memory of Professor LU QiKeng (1927–2015)

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Liu, K., Shen, Y. Boundedness of the period maps and global Torelli theorem. Sci. China Math. 60, 1029–1046 (2017). https://doi.org/10.1007/s11425-015-0858-1

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  • DOI: https://doi.org/10.1007/s11425-015-0858-1

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