  We recall first the relations between the syzygies of the Jacobian ideal of
the defining equation for a projective hypersurface $V$ with isolated
singularities and the versality properties of $V$, as studied by du Plessis and
Wall. Then we show how the bounds on the global Tjurina number of $V$ obtained
by du Plessis and Wall lead to substantial improvements of our previous results
on the stability of the reflexive sheaf $T\langle V\rangle$ of logarithmic
vector fields along $V$, and on the Torelli property in the sense of
Dolgachev-Kapranov of $V$.
