English

On first integrals of holomorphic foliations

Dynamical Systems 2016-02-05 v2

Abstract

We study the existence of first integral for holomorphic foliations in different scenarios and under different conditions, for instance germ of foliations given by vector fields and having a formal first integral or infinitely many invariant hypersurfaces.

Keywords

Cite

@article{arxiv.1502.01901,
  title  = {On first integrals of holomorphic foliations},
  author = {Jonny Ardila Ardila},
  journal= {arXiv preprint arXiv:1502.01901},
  year   = {2016}
}

Comments

This is a first version of my thesis and it will be updated later with the final version. arXiv admin note: text overlap with arXiv:1407.4560 by other authors. text overlap with arXiv:math/0207297, arXiv:1601.07767, arXiv:1205.4074 by other authors

R2 v1 2026-06-22T08:23:48.255Z