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Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: Coefficient properties
David Marín, Jordi Villadelprat
We consider a family of planar vector fields having a hyperbolic saddle and we study the Dulac map and the Dulac t…
Geometry of certain foliations on the complex projective plane
Samir Bedrouni, David Marín
Let be an integer. The set of foliations of degree on the complex projective plane can be identified with a Zariski's open set of a projective space of…
Classification of foliations of degree three on with a flat Legendre transform
Samir Bedrouni, David Marín
The set of foliations of degree three on the complex projective plane can be identified with a Zariski's open set of a projective space of dimension on which a…
Unfoldings of saddle-nodes and their Dulac time
Pavao Mardesić, David Marín, Mariana Saavedra +1
In this paper we study unfoldings of saddle-nodes and their Dulac time. By unfolding a saddle-node, saddles and nodes appear. In the first result (Theorem A) we prove uniform regul…
Foliations and webs inducing Galois coverings
Andrés Beltrán, Maycol Falla Luza, David Marín +1
We introduce the notion of Galois holomorphic foliation on the complex projective space as that of foliations whose Gauss map is a Galois covering when restricted to an appropriate…