On the first Gaussian map for Prym-canonical line bundles
  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. 
Caterina Barchielli, Paola Frediani
math.AG