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Deformations of plane curves and Jacobian syzygies |
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| Authors: | Alexandru Dimca Gabriel Sticlaru |
| Institution: | 1. Université Côte d'Azur, CNRS, LJAD and INRIA, France;2. Faculty of Mathematics and Informatics, Ovidius University, Bd. Mamaia 124, 900527 Constanta, Romania |
| 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. |
| Keywords: | equianalytic deformation equisingular deformation equisingular ideal free curve Jacobian ideal nearly free curve rational cuspidal curve Primary: 14H50 Secondary: 14B05 14C05 13D02 13D10 |