3 papers
math.AG2025
Explicit Computation of The Generic Component of the Analytic Moduli of a Plane Branch
Pedro Fortuny Ayuso, Javier Ribón
Let be a fixed equisingularity class of irreducible germs of complex analytic plane curves. We compute a basis of the -module of Kähler differenti…
math.CV2025
Completely Integrable Foliations: Singular Locus, Invariant Curves and Topological Counterparts
Javier Ribón
We study codimension holomorphic foliations defined in a neighborhood of a point of a complex manifold that are completely integrable, i.e. with independent mero…
math.AG2024
Constructive solution of Zariski's Moduli Problem for Plane Branches
Pedro Fortuny Ayuso, Javier Ribón
In this paper we give an explicit solution to Zariski's moduli problem for plane branches. We compute (in an algorithmic way) the set of Kähler differentials of an irreducible ger…