21787 articles – 15600 references  [version française]
HAL: hal-00656600, version 1

Detailed view  Export this paper
The tree model of a meromorphic plane curve
Abdallah Assi 1
(2012-12-15)

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
1:  Laboratoire Angevin de REcherche en MAthématiques (LAREMA)
CNRS : UMR6093 – Université d'Angers
Mathematics/Algebraic Geometry
Meromorphic curve – polynomial maps
Attached file list to this document: 
PDF
Treemodel.pdf(322 KB)