Gauss-Prym maps on Enriques surfaces

Dario Faro, Irene Spelta

We prove that the $k$-th Gaussian map ${\gamma }_H^k$ is surjective on a polarized unnodal Enriques surface $(S,H)$ with $\varphi (H)>2k+4$. In particular, as a consequence, when $\varphi (H)>4(k+2)$…