Images of real submanifolds under finite holomorphic mappings

Details Images of real submanifolds under finite holomorphic mappings Images of real submanifolds under finite holomorphic mappings

2006-03-09

arxiv.org/abs/math/0603230v2

Mathematics

Complex Variables

12 pages

Scientific paper

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.

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