On non-Kupka points of codimension one foliations on $\mathbb{P}^3$

O. Calvo-Andrade; M. Corrêa; A. Fernández-Pérez

On non-Kupka points of codimension one foliations on $\mathbb{P}^3$

Algebraic Geometry 2016-08-09 v4 Complex Variables Dynamical Systems

Authors: O. Calvo-Andrade , M. Corrêa , A. Fernández-Pérez

Abstract

We study the singular set of a codimension one holomorphic foliations on $\mathbb{P}^3$ . We find a local normal form of a codimension two component of the singular set that is not of Kupka type. We also determined the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on $\mathbb{P}^3$ .

Keywords

holomorphic foliations codimension one singular set non-Kupka points Kupka type local normal form projective space

Cite

@article{arxiv.1506.05438,
  title  = {On non-Kupka points of codimension one foliations on $\mathbb{P}^3$},
  author = {O. Calvo-Andrade and M. Corrêa and A. Fernández-Pérez},
  journal= {arXiv preprint arXiv:1506.05438},
  year   = {2016}
}

Comments

To appear in Annals of the Brazilian Academy of Sciences. Major changes following suggestions of the referees

On non-Kupka points of codimension one foliations on $\mathbb{P}^3$

Abstract

Keywords

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