Translator Disclaimer
September 2007 Projective normality of algebraic curves and its application to surfaces
Seonja Kim, Young Rock Kim
Osaka J. Math. 44(3): 685-690 (September 2007).

Abstract

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

Citation

Download Citation

Seonja Kim. Young Rock Kim. "Projective normality of algebraic curves and its application to surfaces." Osaka J. Math. 44 (3) 685 - 690, September 2007.

Information

Published: September 2007
First available in Project Euclid: 13 September 2007

zbMATH: 1127.14028
MathSciNet: MR2360946

Subjects:
Primary: 14C20, 14H10, 14H45, 14J10, 14J27, 14J28

Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.44 • No. 3 • September 2007
Back to Top