1 citations · 1 across the 6 of their papers we have counts for
7 papers
Birationally integrable vector fields on complex projective surfaces
David Marín, Marcel Nicolau
A rational vector field on a complex projective smooth surface is said to be birationally integrable if it generates, by integration, a one-parameter subgroup of the group $\op…
Fake saddles and their transition maps
David Marín
We study degenerate singular points of planar vector fields inside a (degenerated) flow-box. These kind of singularities are called fake saddles and their linear parts are always z…
Indices of holomorphic foliations and the bifurcation conjecture
Maycol Falla Luza, Arturo Fernández-Pérez, David Marín +1
In this paper, we revisit local invariants (Gómez-Mont-Seade-Verjovsky, variation, Camacho-Sad and Baum-Bott indices) associated with singular holomorphic foliations on $(\mathbb{C…
The cyclicity of hyperbolic hemicycles
David Marín, Jordi Villadelprat
We consider families of planar polynomial vector fields of degree and study the cyclicity of a type of unbounded polycycle~ called hemicycle. Compactified to the Poincaré di…
The period of the limit cycle bifurcating from a persistent polycycle
David Marín, Lucas Queiroz, Jordi Villadelprat
We consider smooth families of planar polynomial vector fields , where is an open subset of , for which there is a hyperbolic polycycle that…
Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families
David Marín, Jean-François Mattei, Eliane Salem
In this work we use our previous results on the topological classification of generic singular foliation germs on to construct complete families: after fixing t…
Topological moduli space for germs of holomorphic foliations II: Universal deformations
David Marín, Jean-François Mattei, Éliane Salem
This work deals with the topological classification of singular foliation germs on . Working in a suitable class of foliations we fix the topological invariants…