For any nodal union of smooth plane curves, the Jacobian syzygy module is generated by m-1 explicit forms plus 3, 2, 1, or 0 Koszul syzygies depending on how many components are lines.
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A minimal resolution for the Jacobian ideal of a generic curve arrangement
For any nodal union of smooth plane curves, the Jacobian syzygy module is generated by m-1 explicit forms plus 3, 2, 1, or 0 Koszul syzygies depending on how many components are lines.