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Deformations of complex orbifolds and the period maps |
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| Authors: | Liu Kefeng Zhuang Xiaobo |
| Institution: | 1.School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China ;2.Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, 90095, USA ;3.School of Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China ; |
| Abstract: | We consider the deformations of complex orbifolds with the underlying smooth structures being fixed.As a corollary,we can prove that the deformations of a Calabi-Yau orbifold is unobstructed by using standard arguments.Then we consider the period map for a family of complex Kahler orbifolds.We prove that the period map is holomorphic,horizontal and consistent with our Kodaira-Spencer map. |
| Keywords: | orbifold variation of Hodge structure period map |
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