On non-Kupka points of codimension one foliations on P3\mathbb{P}^3

preprint2016arXivOpen access

Abstract

We study the singular set of a codimension one holomorphic foliations on P3\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 P3\mathbb{P}^3.

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