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arXiv · 0905.2330

On the second gaussian map for curves on a K3 surface

Elisabetta Colombo·Paola Frediani
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Abstract

By 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 if C is a general hyperplane section of high genus (greater than 280) of a general polarized K3 surface, then the second gaussian map of C is surjective. The resulting bound for the genus g of a general curve with surjective second gaussian map is decreased to g >152.

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Elisabetta Colombo, Paola Frediani. 2010-03-04. On the second gaussian map for curves on a K3 surface. https://arxiv.org/abs/0905.2330

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