A global Torelli theorem for certain Calabi-Yau threefolds
发布人: 曹思圆   发布时间: 2019-12-13   浏览次数: 27

Speaker: Jinxing Xu 许金兴 (University of Science and Technology of China)

Time: Friday, 13.Dec.2019, 14:40--15:40

Place: Room 402, Mathematical Building


Abstract: The cyclic triple cover of the three dimensional complex projective space branched along six hyperplanes in general position is a Calabi-Yau threefold. By varying the hyperplane arrangements, we get a complete family of Calabi-Yau threefolds. I will show the global Torelli theorem holds for this Calabi-Yau family. The main ingredients of the proof are Deligne-Mostow's results on branched cyclic covers of the projective line and a monodromy group computation. This is a joint work with Mao Sheng.