加權完全相交子流形提供了一些重要例子和性質。此計畫第一部分為為找出在三維度特殊有較差奇異點的完全相交子流形例子及研究其性質。第二部分為學習Seshadri常數的計算,希望能計算出加權投影平面的Seshadri常數。最後為延續去年計畫,嘗試能找到更到三維度flip的例子。 ;Firstly, this project is to study some interesting examples of quasi-smooth weighted complete intersections. More precisely, we would like to try to construct certain quasi-smooth weighted complete intersections having "exact" canonical singularities and study the properties of those specific varieties. And we try to give an explicit upper bound $d_c$ for Calabi-Yau 3-folds quasi-smooth hypersurface in weighted projective 4 space. Secondly, we would like to study the computation on Seshadri constant. I wish that I am able to compute Seshadri constant of weighted projective planes. In the last part, we would continue to find more examples of terminal flips.