The tree model of a meromorphic plane curve
Algebraic Geometry
2013-10-14 v2
Abstract
We associate with a plane meromorphic curve f a tree model T(f) based on its contact structure. Then we give a 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.
Keywords
Cite
@article{arxiv.1112.3453,
title = {The tree model of a meromorphic plane curve},
author = {Abdallah Assi},
journal= {arXiv preprint arXiv:1112.3453},
year = {2013}
}
Comments
39 pages, 14 figures, To be published in Revisita de la Real Academia de Ciencias Exactas, Fisicas y Naturales, serie A