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arXiv · 1904.07823

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

Alexandru Dimca·Gabriel Sticlaru
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Abstract

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

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Alexandru Dimca, Gabriel Sticlaru. 2019-04-16. The 0-th Fitting ideal of the Jacobian module of a plane curve. https://arxiv.org/abs/1904.07823

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