Boundedness of the period maps and global Torelli theorem

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 1029-1046
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11425-015-0858-1

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.