此計畫，我主要處理一般型不規則三維簇中線性系統|5K|的雙有理現象。 我們希望證明一般型不規則三維簇中線性系統|5K|可以給出雙有理映射，這是從 2018年八月份與陳榮凱教授、陳猛、江智教授合作的工作。另一部分，我希望能給出滿足諾德等式的更多極小投影的一般三維簇的例子，若時間充足，我希望能給出它們的一些特性和分類。 ;In this project, I mainly study the birationality of |5K_X| of irregular threefolds of general type.We try to show that the linear system |5K_X| gives a birational map for every irregular threefold X.This is a joint work with Professors Jungkai Alfred Chen, Meng Chen and Zhi Jiang.In the second part, we try to give more examples of Gorenstein minimal projective 3-fold of general type satisfying Noether equality. K^3=(4P_g-10)/3.
