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math.CV2022
Transversely product singularities of foliations in projective spaces
Rudy Rosas
We prove that a transversely product component of the singular set of a holomorphic foliation on is necessarily a Kupka component.
math.DS2022★ 1 cited
A flower theorem in dimension two
Lorena López-Hernanz, Rudy Rosas
We prove a two-dimensional analog of Leau-Fatou flower theorem for non-degenerate reduced tangent to the identity biholomorphisms.
math.CV2022
Distributions, first integrals and Legendrian foliations
Maycol Falla Luza, Rudy Rosas
We study germs of holomorphic distributions with "separated variables'. In codimension one, a well know example of this kind of distribution is given by the canonical contact struc…