English

A comprehensive approach to the moduli space of quasi-homogeneous singularities

Complex Variables 2014-07-18 v1

Abstract

We study the relationship between singular holomorphic foliations in (C2,0)(\mathbb{C}^{2},0) and their separatrices. Under mild conditions we describe a complete set of analytic invariants characterizing foliations with quasi-homogeneous separatrices. Further, we give the full moduli space of quasi-homogeneous plane curves. This paper has an expository character in order to make it accessible also to non-specialists.

Keywords

Cite

@article{arxiv.1407.4554,
  title  = {A comprehensive approach to the moduli space of quasi-homogeneous singularities},
  author = {L. M. Câmara and B. Scardua},
  journal= {arXiv preprint arXiv:1407.4554},
  year   = {2014}
}