Local transversely product singularities

Abstract

In the main result of this paper we prove that a codimension one foliation of ${\mathbb{P}}^n$, 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.

References in corpus (1)

• Codimension two holomorphic foliations