English

A short proof that equisingular plane curve singularities are topologically equivalent

Algebraic Geometry 2017-12-06 v1

Abstract

We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irreducible plane curve singularities.

Keywords

Cite

@article{arxiv.1712.01559,
  title  = {A short proof that equisingular plane curve singularities are topologically equivalent},
  author = {Szymon Brzostowski and Tadeusz Krasiński and Justyna Walewska},
  journal= {arXiv preprint arXiv:1712.01559},
  year   = {2017}
}

Comments

11 pages, 8 figures

R2 v1 2026-06-22T23:07:07.315Z