Projective normality of algebraic curves and its application to surfaces

被引：0

作者：

Kim, Seonja ^{[1
]}

Kim, Young Rock

机构：

[1] Chungwoon Univ, Dept Digital Broadcasting & Elect, Chungnam 350701, South Korea

[2] Hankuk Univ Foreign Studies, Grad Sch Educ, Dept Math Educ, Seoul 130791, South Korea

来源：

OSAKA JOURNAL OF MATHEMATICS | 2007年 / 44卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a very ample line bundle on a smooth curve C of genus g with (3g + 3)/2 < deg L <= 2g - 5. Then L is normally generated if deg L > max{2g + 2 4h(1)(C, L), 2g - (g -)/6 - 2h(1)(C, L)}. Let C be a triple covering of genus p curve C' with C ->(phi) C' and D a divisor on C with 4p < deg D < (g - 1)/6 - 2p. Then Kc(-phi D-*) becomes a very ample line bundle which is normally generated. As an application, we characterize some smooth projective surfaces.

引用

页码：685 / 690

页数：6

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