%0 Journal Article %T Surjectivity of Gaussian maps for curves on Enriques surfaces %A A. L. Knutsen %A A. F. Lopez %J Mathematics %D 2006 %I arXiv %X Making suitable generalizations of known results we prove some general facts about Gaussian maps. The above are then used, in the second part of the article, to give a set of conditions that insure the surjectivity of Gaussian maps for curves on Enriques surfaces. To do this we also solve a problem of independent interest: a tetragonal curve of genus g > 6 lying on an Enriques surface and general in its linear system, cannot be, in its canonical embedding, a quadric section of a surface of degree g - 1 in P^{g - 1}. %U http://arxiv.org/abs/math/0610173v1