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Boundedness of the period maps and global Torelli theorem

Boundedness of the period maps and global Torelli theorem
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE CSCD 2017年第6期1029-1046,共18页 中国科学:数学(英文版)
关键词 moduli spaces period maps affine structures Hodge metric completion global Torelli theorem moduli spaces, period maps, affine structures, Hodge metric completion, global Torelli theorem
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