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Article Dans Une Revue Mathematical News / Mathematische Nachrichten Année : 2020

Deformations of plane curves and Jacobian syzygies

Résumé

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.

Dates et versions

hal-01951973 , version 1 (11-12-2018)

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Alexandru Dimca, Gabriel Sticlaru. Deformations of plane curves and Jacobian syzygies. Mathematical News / Mathematische Nachrichten, 2020, 293, pp.475--490. ⟨10.1002/mana.201900137⟩. ⟨hal-01951973⟩
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