Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2011; 48(1): 105-114

Printed January 1, 2011

https://doi.org/10.4134/BKMS.2011.48.1.105

Copyright © The Korean Mathematical Society.

Normal generation of nonspecial line bundles on algebraic curves

Seonja Kim and Young Rock Kim

Chungwoon University, Hankuk University of Foreign Studies

Abstract

In this paper, we classify $(C,\mathcal L)$ such that a smooth curve $C$ of genus $g$ has a nonspecial very ample line bundle $\mathcal L$ of $\deg \mathcal L = 2g-2-a$ failing to be normally generated, in terms of the number $a$.

Keywords: algebraic curve, linear series, line bundle, projectively normal, normal generation

MSC numbers: 14H45, 14H10, 14C20

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