5 papers
Reflection ideals and mappings between generic submanifolds in complex space
M. S. Baouendi, Nordine Mir, Linda Preiss Rothschild
In this paper, we study formal mappings between smooth generic submanifolds in multidimensional complex space and establish results on finite determination, convergence and local b…
Dynamics of the Segre varieties of a real submanifold in complex space
M. S. Baouendi, P. Ebenfelt, Linda Preiss Rothschild
Iterated Segre mappings of real analytic generic submanifolds in complex space have been an essential tool in the study of holomorphic, formal, and CR mappings between such manifol…
Equivalences of real submanifolds in complex space
M. S. Baouendi, Linda Preiss Rothschild, Dmitri Zaitsev
We show that for any real-analytic submanifold M in C^N there is a proper real-analytic subvariety V contained in M such that for any point p in M\V, any real-analytic submanifold…
Convergence and finite determination of formal CR mappings
M. S. Baouendi, P. Ebenfelt, L. P. Rothschild
It is shown that a formal mapping between two real-analytic hypersurfaces in complex space is convergent provided that neither hypersurface contains a nontrivial holomorphic variet…
Rational dependence of smooth and analytic CR mappings on their jets
M. S. Baouendi, P. Ebenfelt, Linda Preiss Rothschild
We consider CR submersive mappings between generic submanifolds in complex space. We show that, under suitable conditions on the manifolds, there is an integer k such that any jet…