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math.DS2023
Nondegenerate germs of holomorphic foliations with prescribed holonomy
Javier Ribón, Rudy Rosas
We are interested in characterizing the holonomy maps associated to integral curves of non-degenerate singularities of holomorphic vector fields. Such a description is well-known i…
math.DS2012
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…
math.DS2010
Multisummability of unfoldings of tangent to the identity diffeomorphisms
Javier Ribón
We prove the multisummability of the infinitesimal generator of unfoldings of finite codimension tangent to the identity 1-dimensional local complex analytic diffeomorphisms. We al…