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arxiv: 1808.05524 · v2 · pith:VAR5OISSnew · submitted 2018-08-16 · 🧮 math.AG

Deformations of plane curves and Jacobian syzygies

classification 🧮 math.AG
keywords curvesdeformationsjacobianplanesyzygiescomplexconjecturescurve
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We relate the equianalytic and the equisingular deformations of a reduced complex plane curve to the Jacobian syzygies of its defining equation. Several examples and conjectures involving rational cuspidal curves are discussed.

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