4 citations · 12 across the 9 of their papers we have counts for
5 papers · 1 filter
bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs
Leonardo Câmara, Alexandre Fernandes
In this paper we address the problem of classifying complex (non-homogeneous) quasihomogeneous polynomials in two variables under bi-Lipschitz equivalence. We prove that pairs of s…
On the topological invariance of the algebraic multiplicity of holomorphic foliations
Leonardo M. Câmara, Fernando Reis, José Edson Sampaio
In this paper, we address one of the most basic and fundamental problems in the theory of foliations and ODEs, the topological invariance of the algebraic multiplicity of a holomor…
On the moduli space of quasi-homogeneous functions
Leonardo Meireles Câmara, Maria Aparecida Soares Ruas
We relate the moduli space of analytic equivalent germs of reduced quasi-homogeneous functions at with their bi-Lipschitz equivalence classes. We show that any n…
A comprehensive approach to the moduli space of quasi-homogeneous singularities
L. M. Câmara, B. Scardua
We study the relationship between singular holomorphic foliations in and their separatrices. Under mild conditions we describe a complete set of analytic invar…
On the integrability of holomorphic vector fields
Leonardo Camara, Bruno Scardua
We determine topological and algebraic conditions for a germ of holomorphic foliation induced by a generic vector field on to have a holomo…