International audienceLet f be a formal mapping between a minimal generic real-analytic submanifold M ⊂ Cn and a real-analytic subset M ⊂ Cn . In this article, we introduce the notion of first and second characteristic varieties associated to (M,M ,f) and we give two new sufficient conditions for the convergence of f . In particular, we prove that if M does not contain any complex curves and if the family of the first characteristic varieties is regular, then f is convergent.Soit f une application formelle entre une sous-variété analytique réelle générique minimale M dans C^n et un sous-ensemble analytique réel M' dans C^n'. Dans cet article, on introduit les notions de première et seconde variétés caractéristiques associées au triplet (M, ...
Searching normal forms for real analytic submanifolds of C^n involves convergence problems. In 1983,...
International audienceWe show that any formal embedding sending a real-analytic strongly pseudoconve...
The theory of regular variation is largely complete in one dimen- sion, but is developed under regul...
International audienceLet f be a formal mapping between a minimal generic real-analytic submanifold ...
AbstractLet f be a formal mapping between a minimal generic real-analytic submanifold M⊂Cn and a rea...
Abstract Let M ⊂ CN be a minimal real-analytic CR-submanifold and M ′ ⊂ CN ′ a real-algebraic subse...
L'objectif de cette thèse, est l'étude de la convergence d'applications méromorphes entre deux varié...
The aim of this thesis is to study the existence of holomorphic mappings between real submanifolds i...
L'objectif de cette thèse, est l'étude de la convergence d'applications méromorphes entre deux vari...
International audienceLet $f : (M,p)\rightarrow (M',p')$ be a formal (holomorphic) nondegenerate map...
International audienceLet $M\subset \C^N$ be a minimal real-analytic CR-submanifold and $M'\subset \...
Let H:(M,p)->(M',p') be a formal mapping between two germs of real-analytic generic submanifolds in ...
1. Preliminaries For simplicity, we follow the rules: X is a non empty set, S is a σ-field of subset...
Jury : F. Berteloot, B. Coupet, K. Diederich, T. Gallouët, J. Merker, A. SukhovThis work concerns th...
It is shown that any formal holomorphic mapping sending a real-analytic generic submanifold M⊂CN of ...
Searching normal forms for real analytic submanifolds of C^n involves convergence problems. In 1983,...
International audienceWe show that any formal embedding sending a real-analytic strongly pseudoconve...
The theory of regular variation is largely complete in one dimen- sion, but is developed under regul...
International audienceLet f be a formal mapping between a minimal generic real-analytic submanifold ...
AbstractLet f be a formal mapping between a minimal generic real-analytic submanifold M⊂Cn and a rea...
Abstract Let M ⊂ CN be a minimal real-analytic CR-submanifold and M ′ ⊂ CN ′ a real-algebraic subse...
L'objectif de cette thèse, est l'étude de la convergence d'applications méromorphes entre deux varié...
The aim of this thesis is to study the existence of holomorphic mappings between real submanifolds i...
L'objectif de cette thèse, est l'étude de la convergence d'applications méromorphes entre deux vari...
International audienceLet $f : (M,p)\rightarrow (M',p')$ be a formal (holomorphic) nondegenerate map...
International audienceLet $M\subset \C^N$ be a minimal real-analytic CR-submanifold and $M'\subset \...
Let H:(M,p)->(M',p') be a formal mapping between two germs of real-analytic generic submanifolds in ...
1. Preliminaries For simplicity, we follow the rules: X is a non empty set, S is a σ-field of subset...
Jury : F. Berteloot, B. Coupet, K. Diederich, T. Gallouët, J. Merker, A. SukhovThis work concerns th...
It is shown that any formal holomorphic mapping sending a real-analytic generic submanifold M⊂CN of ...
Searching normal forms for real analytic submanifolds of C^n involves convergence problems. In 1983,...
International audienceWe show that any formal embedding sending a real-analytic strongly pseudoconve...
The theory of regular variation is largely complete in one dimen- sion, but is developed under regul...