  We prove that the $0$-th local cohomology of the jacobian ring of a
projective hypersurface with isolated singularities has a nice interpretation
it in the context of linkage theory. Roughly speaking, it represents a measure
of the failure of Gherardelli's theorem for the corresponding graded modules.
This leads us to a different and characteristic free proof of its self-duality,
which turns out to be an easy consequence of Grothendieck's local duality
theorem.
