On the first Gaussian map for Prym-canonical line bundles
classification
🧮 math.AG
keywords
firstgaussianlineprym-canonicalbinarybundlebundlescanonical
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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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