Prym map and second gaussian map for Prym-canonical line bundles
Algebraic Geometry
2013-02-26 v3
Abstract
We show that the second fundamental form of the Prym map lifts the second gaussian map of the Prym-canonical bundle. We prove, by degeneration to binary curves, that this gaussian map is surjective for the general point [C,A] of R_g for g > 19.
Keywords
Cite
@article{arxiv.1105.4472,
title = {Prym map and second gaussian map for Prym-canonical line bundles},
author = {Elisabetta Colombo and Paola Frediani},
journal= {arXiv preprint arXiv:1105.4472},
year = {2013}
}
Comments
Final version. To appear in Advances in Mathematics