Abstract
AbstractBy a theorem of Wahl, for canonically embedded curves which are hyperplane sections of K3 surfaces, the first Gaussian map is not surjective. In this paper we prove that ifCis a general hyperplane section of high genus (> 280) of a general polarized K3 surface, then the second Gaussian map ofCis surjective. The resulting bound for the genusgof a general curve with surjective second Gaussian map is decreased tog> 152.
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