Deformations of complex orbifolds and the period maps

作     者：Kefeng Liu Xiaobo Zhuan Kefeng Liu;Xiaobo Zhuang

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China Department of MathematicsUniversity of California at Los AngelesCA 90095USA School of ScienceZhejiang Sci-Tech UniversityHangzhou 310018China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2020年第63卷第1期

页      面：83-100页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.17062079-Y) 

主　　题：orbifold variation of Hodge structure period map 

摘      要：We consider the deformations of complex orbifolds with the underlying smooth structures being *** a corollary,we can prove that the deformations of a Calabi-Yau orbifold is unobstructed by using standard *** we consider the period map for a family of complex Kahler *** prove that the period map is holomorphic,horizontal and consistent with our Kodaira-Spencer map.