54 citations · 70 across the 16 of their papers we have counts for
16 papers
Transversality of holomorphic mappings between real hypersurfaces in different dimensions
M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild
In this paper, we consider holomorphic mappings between real hypersurfaces in different dimensional complex spaces. We give a number of conditions that imply that such mappings are…
Projection on Segre varieties and determination of holomorphic mappings between real submanifolds
M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild
It is shown that a germ of a holomorphic mapping sending a real-analytic generic submanifold of finite type into another is determined by its projection on the Segre variety of the…
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…
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 …
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…
Transversality of CR mappings
P. Ebenfelt, L. P. Rothschild
We prove here new results about transversality and related geometric properties of a holomorphic, formal, or CR mapping, sending one generic submanifold of $\bC^N$ into another. On…