A remark on very-ampleness in Toric geometry A remark on very-ampleness in Toric geometry

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7832

Title:	A remark on very-ampleness in Toric geometry A remark on very-ampleness in Toric geometry
Authors:	陳正夫;Cheng-Fu Chen
Contributors:	數學研究所
Keywords:	very ample;ample
Date:	2003-06-27
Issue Date:	2009-09-22 11:06:37 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	在linear system的領域裡存在著一個問題：我們知道一個ample divisor 在乘上若干倍數之後會變成一個 very-ample divisor，但這個倍數應該是多少，才是最適當的呢？在這篇論文裡我們以toric variety上的情形來做討論，並由G. Ewald與U. Wessels兩人在1991年所發表的論文中的定理知道，若是此toric variety 的維度是n，則對於每一個在它上面的ample divisor，乘上 n－1倍之後必定會是very ample。上述的定理在G. Ewald與U. Wessels的論文裡是以反證法證明的，而本篇論文主要將用一種相反的方法來證明這個定理，並以實際的例子來說明其使用方法。 In the study of very-ampleness, we consider a main theorem which was given by G.Ewald and U.Wessels in 1991. The result of this main theorem provide a better bound for an ample divisor to be very ample. In the original proof, this theorem is proved by contradiction, though we will prove it by using the contrast method.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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