Equivalences of real submanifolds in complex space
Complex Variables
2007-05-23 v1
Abstract
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 M' in C^N, and any point p' in M', the germs of the submanifolds M and M' at p and p' respectively are formally equivalent if and only if they are biholomorphically equivalent. More general results for k-equivalences are also stated and proved.
Cite
@article{arxiv.math/0002186,
title = {Equivalences of real submanifolds in complex space},
author = {M. S. Baouendi and Linda Preiss Rothschild and Dmitri Zaitsev},
journal= {arXiv preprint arXiv:math/0002186},
year = {2007}
}
Comments
38 pages, LateX