  A curve, that is, a connected, reduced, projective scheme of dimension 1 over
an algebraically closed field, admits two types of compactifications of its
(generalized) Jacobian: the moduli schemes of P-quasistable torsion-free,
rank-1 sheaves and Seshadri's moduli schemes of S-equivalence classes of
semistable torsion-free, rank-1 sheaves. Both are constructed with respect to a
choice of polarization. The former are fine moduli spaces which were shown to
be complete; here we show that they are actually projective. The latter are
just coarse moduli spaces. Here we give a sufficient condition for when these
two types of moduli spaces are equal.
