Normal generation of nonspecial line bundles on algebraic curves
Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 105-114
https://doi.org/10.4134/BKMS.2011.48.1.105
Published online January 1, 2011
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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