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arXiv · 1210.7598

On the first Gaussian map for Prym-canonical line bundles

Caterina Barchielli·Paola Frediani
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Abstract

We prove by degeneration to Prym-canonical binary curves that the first Gaussian map of the Prym canonical line bundle $\omega_C \otimes A$ is surjective for the general point [C,A] of R_g if g >11, while it is injective if g < 12.

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Caterina Barchielli, Paola Frediani. 2012-10-29. On the first Gaussian map for Prym-canonical line bundles. https://doi.org/10.1007/s10711-013-9881-y

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