Projection on Segre varieties and determination of holomorphic mappings between real submanifolds
Complex Variables
2015-06-26 v1
Abstract
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 target manifold. A necessary and sufficient condition is given for a germ of a mapping into the Segre variety of the target manifold to be the projection of a holomorphic mapping sending the source manifold into the target. An application to the biholomorphic equivalence problem is also given.
Keywords
Cite
@article{arxiv.math/0609677,
title = {Projection on Segre varieties and determination of holomorphic mappings between real submanifolds},
author = {M. S. Baouendi and Peter Ebenfelt and Linda P. Rothschild},
journal= {arXiv preprint arXiv:math/0609677},
year = {2015}
}
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16 pages