On the first Gaussian map for Prym-canonical line bundles

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.

arXiv commentTo appear in Geometriae Dedicata. arXiv admin note: text overlap with arXiv:1105.4472

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