4 citations · 12 across the 9 of their papers we have counts for
10 papers
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…
Residues for maps generically transverse to distributions
Leonardo Câmara, Maurício Corrêa
We show a residues formula for maps generically transversal to regular holomorphic distributions.
Holomorphic plane fields with many invariant hypersurfaces
L. Câmara, B. Scárdua
In this paper we show that a (non necessarily integrable) holomorphic plane field on a compact complex manfold having an infinite number of invariant hypersurfaces must admit a…
Closed Orbits and Integrability for singularities of complex vector fields in dimension three
Leonardo Câmara, Bruno Scardua
This paper is about the integrability of complex vector fields in dimension three in a neighborhood of a singular point. More precisely, we study the existence of holomorphic first…