On the second gaussian map for curves on a K3 surface
Algebraic Geometry
2010-03-04 v3
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.
Cite
@article{arxiv.0905.2330,
title = {On the second gaussian map for curves on a K3 surface},
author = {Elisabetta Colombo and Paola Frediani},
journal= {arXiv preprint arXiv:0905.2330},
year = {2010}
}
Comments
final version, to appear in Nagoya Mathematical Journal