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math.CV2006
Deformation of generic submanifolds in a complex manifold
M. S. Baouendi, L. P. Rothschild, D. Zaitsev
This paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy condi…
math.CV2006
Analyticity of smooth CR mappings of generic submanifolds
Peter Ebenfelt, Linda P. Rothschild
We consider a smooth CR mapping from a real-analytic generic submanifold in $\bC^N$ into $\bC^N$. For of finite type and essentially finite at a point , and …
math.CV2006
Images of real submanifolds under finite holomorphic mappings
Peter Ebenfelt, Linda P. Rothschild
We give some results concerning the smoothness of the image of a real-analytic submanifold in complex space under the action of a finite holomorphic mapping. For instance, if the s…