  We study the degeneracy loci of general bundle morphisms from the direct sum
of m copies of the structural sheaf on $P^n$ to $\Omega(2)$, also from the
point of view of the classical geometrical interpretation of the sections of
$\Omega(2)$ as linear line complexes. We consider in particular the case of
$P^5$ with m=2, 3. For n=5 and m=3 we give an explicit description of the
Hilbert scheme H of elliptic normal scrolls in $P^5$, by defining a natural
rational map from the Grassmannian G(2,14) to H, which results to be dominant
with general fibre of degree four.
