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We describe the 0-th Fitting ideal of the Jacobian module of a plane curve interms of determinants involving the Jacobian syzygies of this curve. This leadsto new characterizations of maximal Tjurina curves, that is of non free planecurves, whose global Tjurina number equals an upper bound given by A. duPlessis and C.T.C. Wall.

The 0-th Fitting ideal of the Jacobian module of a plane curve