1 citations · 1 across the 4 of their papers we have counts for
5 papers
Nonalgebraizable real analytic tubes in C^n
Hervé Gaussier, Joël Merker
We give necessary conditions for certain real analytic tube generic submanifolds in C^n to be locally algebraizable. As an application, we exhibit families of real analytic non loc…
On the local geometry of generic submanifolds of C^n and the analytic reflection principle (Part I)
Joël Merker
We build an elementary analytico-geometric theory of Segre chains and their jets.
Symmetries of partial differential equations
Hervé Gaussier, Joël Merker
We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments…
On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle
Joel Merker
In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called reflection function to…
Note on double reflection and algebraicity of holomorphic mappings
J. Merker
In this note, our purpose is to establish shortly the algebraicity of a holomorphic mapping between real algebraic CR manifolds under a double reflection condition which generalize…