The Hodge Conjecture for general Prym varieties

The space of Hodge cycles of the general Prym variety is proved to be generated by its Neron-Severi group.Comment: LaTeX-fil

Curves on threefolds with trivial canonical bundle

C. H. Clemens has shown that homologically trivial codimension two cycles on a general hypersurface of degree five and dimension three form a subgroup of infinite rank inside the intermediate jacobian. We generalize this to other complete intersection threefolds with trivial canonical bundle