9 citations · 39 across the 14 of their papers we have counts for
15 papers
A fixed point curve theorem for finite orbits local diffeomorphisms
Lucivanio Lisboa, Javier Ribón
We study local biholomorphisms with finite orbits in some neighborhood of the origin since they are intimately related to holomorphic foliations with closed leaves. We describe the…
Fixed points of nilpotent actions on surfaces of negative Euler characteristic
Javier Ribón
We prove that a locally nilpotent group of diffeomorphisms of a compact surface of non-vanishing Euler characteristic has a finite orbit whose cardin…
The local Poincaré problem for irreducible branches
José Cano, Pedro Fortuny Ayuso, Javier Ribón
Let be a germ of holomorphic foliation defined in a neighborhood of the origin of that has a germ of irreducible holomorphic invariant curve . W…
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…
Boundness of intersection numbers for actions by two-dimensional biholomorphisms
Javier Ribón
We say that a group of local (maybe formal) biholomorphisms satisfies the uniform intersection property if the intersection multiplicity takes only finitely many va…
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 …
Global fixed points for nilpotent actions on the torus
Sebastião Firmo, Javier Ribón
An isotopic to the identity map of the -torus, that has zero rotation vector with respect to an invariant ergodic probability measure, has a fixed point by a theorem of Franks.…
Analytic Moduli of Plane Branches and Holomorphic Flows
Pedro Fortuny Ayuso, Javier Ribón
We study the behaviour (in the infinitesimal neighbourhood of the singularity) of a singular plane branch under the action of holomorphic flows. The techniques we develop provide a…
Finite orbits for nilpotent actions on the torus
Sebastião Firmo, Javier Ribón
A homeomorphism of the -torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove tha…
The solvable length of groups of local diffeomorphisms
Javier Ribón
We are interested in the algebraic properties of groups of local biholomorphisms and their consequences. A natural question is whether the complexity of solvable groups is bounded…
Fixed points of nilpotent actions on
Javier Ribón
We prove that a nilpotent subgroup of orientation preserving diffeomorphisms of has a finite orbit of cardinality at most two. We also prove that a finite…
Topological rigidity of unfoldings of resonant diffeomorphisms
Javier Ribón
We prove that a topological homeomorphism conjugating two generic 1-parameter unfoldings of 1-variable complex analytic resonant diffeomorphisms is holomorphic or anti-holomorphic…
Embedding smooth and formal diffeomorphisms through the Jordan-Chevalley decomposition
Javier Ribón
In [Xiang Zhang, The embedding flows of hyperbolic diffeomorphisms, J. Differential Equations 250 (2011), no. 5, 2283-2298] Zhang proved that any local smooth hyperbol…
Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy
Javier Ribón
The formal class of a germ of diffeomorphism is embeddable in a flow if is formally conjugated to the exponential of a germ of vector field. We prove that there are complex…
Formal classification of unipotent parameterized diffeomorphisms
Javier Ribón
We provide a complete system of invariants for the formal classification of complex analytic unipotent germs of diffeomorphism at $\cn{n}$ fixing the orbits of a regular vector fie…