9 citations
6 papers
A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)
Francois Berteloot, Christophe Dupont
We linearize the inverse branches of the iterates of holomorphic endomorphisms of CP(k) and thus overcome the lack of Koebe distortion theorem in this setting when k 2. We re…
Normal forms of foliations and curves defined by a function with a generic tangent cone
Yohann Genzmer, Emmanuel Paul
We first describe the local and global moduli spaces of germs of foliations defined by analytic functions in two variables with p transverse smooth branches, and with integral mult…
On points at infinity of real spectra of polynomial rings
François Lucas, Daniel Schaub, Mark Spivakovsky
Let R be a real closed field and A=R[x_1,...,x_n]. Let sper A denote the real spectrum of A. There are two kinds of points in sper A : finite points (those for which all of |x_1|,.…
Familles fuchsiennes d'équations aux (q-)différences et confluence
Anne Duval, Julien Roques
In a first part, we give a method for solving a family of fuchsian systems of operators of pseudo-derivations associated to a family of homographies with two parameters which unify…
Enveloppe galoisienne d'une application rationnelle de P1
Guy Casale
The D-envelope (or galoisian envelope) of rational endomorphisms of P1 are computed. One obtain the following theorem : "the rational transformations of P1 with an invariant meromo…
Feuilletages singuliers de codimension un, Groupoïde de Galois et intégrales premières
Guy Casale
We study the Galois groupoid of a holomorphic singular codimension one foliation. Geometric and algebraic caracterisations using Godbillon-Vey sequences and classical first integra…