Communications in Analysis and Geometry

Volume 15 (2007)

Number 3

Images of real submanifolds under finite holomorphic mappings

Pages: 491 – 507



Peter Ebenfelt

Linda P. Rothschild


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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