9 citations · 19 across the 5 of their papers we have counts for
5 papers
Local dynamics of tangent to the identity biholomorphisms in dimension two
Lorena López-Hernanz
This survey provides an overview of the existence of stable manifolds for tangent to the identity biholomorphisms in ) and its connection with the existence of inv…
Stable manifolds of biholomorphisms in asymptotic to formal curves
Lorena López-Hernanz, Javier Ribón, Fernando Sanz Sánchez +1
Given a germ of biholomorphism with a formal invariant curve such that the multiplier of the restricted formal diffeomorphism is a ro…
Characteristic directions of two-dimensional biholomorphisms
Lorena López-Hernanz, Rudy Rosas
We prove that for each characteristic direction of a tangent to the identity diffeomorphism of order in there exist either an analytic curve of fixed poi…
Stable manifolds of two-dimensional biholomorphisms asymptotic to formal curves
Lorena López-Hernanz, Jasmin Raissy, Javier Ribón +1
Let be a germ of a holomorphic diffeomorphism and let be an invariant formal curve of . Assume that the restricted diffeomorphism …
Parabolic curves of diffeomorphisms asymptotic to formal invariant curves
Lorena López-Hernanz, Fernando Sanz Sánchez
We prove that if is a tangent to the identity diffeomorphism at and is a formal invariant curve of then there exists a parabolic curve (attracting or…