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arXiv · 1808.05524

Deformations of plane curves and Jacobian syzygies

Alexandru Dimca·Gabriel Sticlaru
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Abstract

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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Alexandru Dimca, Gabriel Sticlaru. 2018-08-16. Deformations of plane curves and Jacobian syzygies. https://arxiv.org/abs/1808.05524

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