Properties of Quasismooth Weighted Complete Intersections and the Study of Seshadri Constants

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.