Geodesic
Abelian singularities of holomorphic Lie-foliations
Journal of Singularities, Tome 10 (2014), pp. 191-199

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We study holomorphic foliations with generic singularities and Lie group transverse structure outside of some invariant codimension one analytic subset. We introduce the concept of abelian singularity and prove that, for this type of singularities, the foliation is logarithmic. The Lie transverse structure is then used to extend the local (logarithmic) normal form from a neighborhood of the singularity, to the whole manifold. 
@article{10_5427_jsing_2014_10m,
     author = {Albet\~a Mafra and Bruno Sc\'ardua},
     title = {Abelian singularities of holomorphic {Lie-foliations}},
     journal = {Journal of Singularities},
     pages = {191--199},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     doi = {10.5427/jsing.2014.10m},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10m/}
}
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Albetã Mafra; Bruno Scárdua. Abelian singularities of holomorphic Lie-foliations. Journal of Singularities, Tome 10 (2014), pp. 191-199. doi: 10.5427/jsing.2014.10m

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