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math.CV2000
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…
math.CV2000
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…
math.CV2000
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…