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Foliations on the projective plane with finite group of symmetries
(Mattioli 1885, 2020-03-09)
Let $\mathcal{F}$ denote a singular holomorphic foliation on $\mathbb{P}^2$ having a finite automorphism group $\mbox{aut}(\mathcal{F})$. Fixed the degree of $\mathcal{F}$, we determine the maximal value that $|\mbox{aut}(\mathcal{F})|$ can take and explicitly exhibit all the foliations attaining this maximal value. Furthermore, we classify the foliations with large but finite automorphism group.
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Transversely Product Singularities of Foliations in Projective Spaces
(Academie des sciences, 2023-01-01)
We prove that a transversely product component of the singular set of a holomorphic foliation on ℙ n is necessarily a Kupka component.

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