Strongly moving curves

The cone of strongly moving curves is dual to the cone of
pseudo-effective divisors, and as such an important tool in proving the
pseudo-effectiveness of the canonical bundle on a non-uniruled variety.
But strongly moving curves are also interesting in themselves, as a
generalization of complete intersection curves. Motivated by Miyaoka's
generic semipositivity theorem, I discuss which of the nice properties of
complete intersection curves are shared by strongly moving curves.
I present an extensive example and first results.