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September 2010 On the second Gaussian map for curves on a K3 surface
Elisabetta Colombo, Paola Frediani
Nagoya Math. J. 199: 123-136 (September 2010). DOI: 10.1215/00277630-2010-006

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 (> 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. "On the second Gaussian map for curves on a K3 surface." Nagoya Math. J. 199 123 - 136, September 2010. https://doi.org/10.1215/00277630-2010-006

Information

Published: September 2010
First available in Project Euclid: 14 September 2010

zbMATH: 1208.14021
MathSciNet: MR2730414
Digital Object Identifier: 10.1215/00277630-2010-006

Subjects:
Primary: 14H10, 14J28

Rights: Copyright © 2010 Editorial Board, Nagoya Mathematical Journal

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Vol.199 • September 2010
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