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arXiv · 1105.4472

Prym map and second gaussian map for Prym-canonical line bundles

Elisabetta Colombo·Paola Frediani
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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.

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Elisabetta Colombo, Paola Frediani. 2011-05-23. Prym map and second gaussian map for Prym-canonical line bundles. https://arxiv.org/abs/1105.4472

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