Images of real submanifolds under finite holomorphic mappings
Complex Variables
2007-05-23 v2 Algebraic Geometry
Differential Geometry
Abstract
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 submanifold is not contained in a proper complex subvariety, we give a necessary and sufficient condition guaranteeing that its image is smooth and the mapping is transversal to the image.
Keywords
Cite
@article{arxiv.math/0603230,
title = {Images of real submanifolds under finite holomorphic mappings},
author = {Peter Ebenfelt and Linda P. Rothschild},
journal= {arXiv preprint arXiv:math/0603230},
year = {2007}
}
Comments
12 pages