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math.AG2020
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…
math.AG2017★ 1 cited
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…