一般型不規則投影三維簇之線性系統|5Ｋ|的雙有理現象;Birationality of Pluricanonical System |5k| on Irregular Projective Threefolds of General Type

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/82377

Title:	一般型不規則投影三維簇之線性系統\|5Ｋ\|的雙有理現象;Birationality of Pluricanonical System \|5k\| on Irregular Projective Threefolds of General Type
Authors:	陳正傑
Contributors:	國立中央大學數學系
Keywords:	雙有理映射;一般型不規則三維簇;線性系統;諾德不等式;birational map;irregular threefolds of general type;Noether's inequality for projective threefolds
Date:	2020-01-13
Issue Date:	2020-01-13 14:48:49 (UTC+8)
Publisher:	科技部
Abstract:	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.
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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