Images of real submanifolds under finite holomorphic mappings

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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.
12 pages

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Complex Variables, Algebraic Geometry, Differential Geometry, 32H35, 32V40

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http://salesiana.dossiersoluciones.com/handle/123456789/110131

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603230
 http://arxiv.org/abs/math/0603230

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arXiv