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arXiv · 1810.04193

Local transversely product singularities

Alcides Lins Neto
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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.

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Alcides Lins Neto. 2018-10-09. Local transversely product singularities. https://arxiv.org/abs/1810.04193

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