加權完全交集子流形之性質及Seshadri常數計算之研究;Properties of Quasismooth Weighted Complete Intersections and the Study of Seshadri Constants

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/78795

Title:	加權完全交集子流形之性質及Seshadri常數計算之研究;Properties of Quasismooth Weighted Complete Intersections and the Study of Seshadri Constants
Authors:	陳正傑
Contributors:	國立中央大學數學系
Keywords:	半平滑;加權完全相交子流形;正向性;三維度flip的例子;;quasismooth;weighted complete intersections;weighted projective planes;Seshadri constants;examples of threefold flips
Date:	2018-12-19
Issue Date:	2018-12-20 13:49:33 (UTC+8)
Publisher:	科技部
Abstract:	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.
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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