Deformations of plane curves and Jacobian syzygies
Algebraic Geometry
2018-08-22 v2
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
Cite
@article{arxiv.1808.05524,
title = {Deformations of plane curves and Jacobian syzygies},
author = {Alexandru Dimca and Gabriel Sticlaru},
journal= {arXiv preprint arXiv:1808.05524},
year = {2018}
}
Comments
v2. Terminology and references improved following very useful comments by Gert-Martin Greuel