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.
|Effective start/end date||1/08/18 → 31/07/19|
- weighted complete intersections
- weighted projective planes
- Seshadri constants
- examples of threefold flips
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