The tree model of a meromorphic plane curve

Abdallah Assi (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We associate with a plane meromorphic curve f a tree model T(f) based on its contact structure. Then we give a complete description of the y-derivative of f (resp. the Jacobien J(f,g)) in terms of T(f) (resp. T(fg)). We also characterize the regularity of f in terms of its tree and we give a bound for the number of its irregular values

Mots clés: Meromorphic curve; polynomial maps

Domaines: Géométrie algébrique [math.AG]

Abdallah Assi. The tree model of a meromorphic plane curve. 2012. ⟨hal-00656600v2⟩