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math.CV2009★ 4 cited
Holomorphic Mappings between Hyperquadrics with Small Signature Difference
M. Salah Baouendi, Peter Ebenfelt, Xiaojun Huang
In this paper, we study holomorphic mappings sending a hyperquadric of signature in $\bC^n$ into a hyperquadric of signature in $\bC^N$. We show (Theorem \ref{main})…
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…