English

On the Zariski invariant of plane branches

Algebraic Geometry 2025-01-23 v2

Abstract

We show how to obtain the Zariski invariant of a plane branch employing the contact order or the intersection multiplicity with elements in a particular family of curves and we present some consequences of this result.

Keywords

Cite

@article{arxiv.2407.03461,
  title  = {On the Zariski invariant of plane branches},
  author = {Marcelo Escudeiro Hernandes and Mauro Fernando Hernández Iglesias},
  journal= {arXiv preprint arXiv:2407.03461},
  year   = {2025}
}