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

Published 23 May 2011 in math.AG | (1105.4472v3)

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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