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Deformations of plane curves and Jacobian syzygies

Alexandru Dimca and Gabriel Sticlaru

Mathematische Nachrichten, 2020, vol. 293, issue 3, 475-490

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.

Date: 2020
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https://doi.org/10.1002/mana.201900137

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