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- W2944412443 abstract "We identify several classes of curves $C:f=0$, for which the Hilbert vector of the Jacobian module $N(f)$ can be completely determined, namely the 3-syzygy curves, the maximal Tjurina curves and the nodal curves, having only rational irreducible components. A result due to Hartshorne, on the cohomology of some rank 2 vector bundles on $mathbb{P}^2$, is used to get a sharp lower bound for the initial degree of the Jacobian module $N(f)$, under a semistability condition." @default.
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- W2944412443 date "2019-05-10" @default.
- W2944412443 modified "2023-09-27" @default.
- W2944412443 title "On the Hilbert vector of the Jacobian module of a plane curve" @default.
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