Two classes of hyperbolic surfaces in P-3

We construct two classes of singular Kobayashi hyperbolic surfaces in P-3. The first consists of generic projections of the Cartesian square V = C x C of a generic genus g greater than or equal to 2 curve C smoothly embedded in P-5. These surfaces have G-hyperbolic normalizations; we give some lower bounds for their degrees and provide an example of degree 32. The second c lass of examples of hyperbolic surfaces in P3 is provided by generic projec tions of the symmetric square V' = C-2 of a generic genus g greater than or equal to 3 curve C. The minimal degree of these surfaces is 16, but this t ime the normalizations are not C-hyperbolic.