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Deformations of plane curves and Jacobian syzygies

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  • Alexandru Dimca
  • Gabriel Sticlaru

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, 2020. "Deformations of plane curves and Jacobian syzygies," Mathematische Nachrichten, Wiley Blackwell, vol. 293(3), pages 475-490, March.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:3:p:475-490
    DOI: 10.1002/mana.201900137
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