English

Local transversely product singularities

Algebraic Geometry 2018-10-11 v1

Abstract

In the main result of this paper we prove that a codimension one foliation of Pn\mathbb{P}^n, which is locally a product near every point of some codimension two component of the singular set, has a Kupka component. In particular, we obtain a generalization of a known result of Calvo Andrade and Brunella about foliations with a Kupka component.

Keywords

Cite

@article{arxiv.1810.04193,
  title  = {Local transversely product singularities},
  author = {Alcides Lins Neto},
  journal= {arXiv preprint arXiv:1810.04193},
  year   = {2018}
}
R2 v1 2026-06-23T04:33:58.662Z