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arXiv · 0804.0048

Transversely Lie holomorphic foliations on projective spaces

A. C. Mafra·B. Scardua
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Abstract

We prove that a one-dimensional foliation with generic singularities on a projective space, exhibiting a Lie group transverse structure in the complement of some codimension one algebraic subset is logarithmic, i.e., it is the intersection of codimension one foliations given by closed one-forms with simple poles. If there is only one singularity in a suitable affine space, then the foliation is induced by a linear diagonal vector field.

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A. C. Mafra, B. Scardua. 2008-04-01. Transversely Lie holomorphic foliations on projective spaces. https://arxiv.org/abs/0804.0048

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