REMARKS ON NONSPECIAL LINE BUNDLES ON GENERAL κ-GONAL CURVES CHOI, YOUNGOOK; KIM, SEONJA;
In this work we obtain conditions for nonspecial line bundles on general -gonal curves failing to be normally generated. Let L be a nonspecial very ample line bundle on a general -gonal curve X with and . If L fails to be normally generated, then L is isomorphic to for some , B and R satisfying (1) , (2) , (3) for any . Its converse also holds under some additional restrictions. As a corollary, a very ample line bundle is normally generated if and satisfy , supp and deg for any .
general -gonal curve;normal generation;nonspecial line bundle;Clifford index;
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