  Results due to Druel and Beauville show that the blowup of the intermediate
Jacobian of a smooth cubic threefold X in the Fano surface of lines can be
identified with a moduli space of semistable sheaves of Chern classes c_1=0,
c_2=2, c_3=0 on X. Here we further identify this space with a space of matrix
factorizations. This has the advantage that this description naturally
generalizes to singular and even reducible cubic threefolds. In this way, given
a degeneration of X to a reducible cubic threefold X_0, we obtain an associated
degeneration of the above moduli spaces of semistable sheaves.
