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Normal generation of line bundles on a general k -gonal algebraic curve

Edoardo Ballico, Changho Keem, Seonja Kim (2003)

Bollettino dell'Unione Matematica Italiana

We prove that a very ample special line bundle L of degree d > 3 g - 1 / 2 on a general k -gonal curve is normally generated if the degree of the base locus of its dual bundle K L - 1 does not exceed c k - 2 / 2 , where c := d - 3 g - 1 / 2 .

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