  We investigate the relations between the syzygies of the Jacobian ideal of
the defining equation for a plane curve $C$ and the stability of the sheaf of
logarithmic vector fields along $C$, the freeness of the divisor $C$ and the
Torelli properties of $C$ (in the sense of Dolgachev-Kapranov).
  We show in particular that curves with a small number of nodes and cusps are
Torelli in this sense.
