English

The Analytic Classification of Plane Curves

Algebraic Geometry 2023-10-19 v3

Abstract

In this paper, we present a solution to the problem of the analytic classification of germs of plane curves with several irreducible components. Our algebraic approach follows precursive ideas of Oscar Zariski and as a subproduct allow us to recover some particular cases found in the literature.

Keywords

Cite

@article{arxiv.2010.04874,
  title  = {The Analytic Classification of Plane Curves},
  author = {Marcelo Escudeiro Hernandes and Maria Elenice Rodrigues Hernandes},
  journal= {arXiv preprint arXiv:2010.04874},
  year   = {2023}
}
R2 v1 2026-06-23T19:13:38.225Z