Deformations of complex orbifolds and the period maps
Deformations of complex orbifolds and the period maps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.