Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces

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We prove that a germ of a holomorphic map $f$ between $C^n$ and $C^{n'}$ sending one real-algebraic submanifold $M\subset C^n$ into another $M'\subset C^{n'}$ is algebraic provided $M'$ contains no complex-analytic discs and $M$ is generic and minimal. We also propose an algorithm for finding complex-analytic discs in a real submanifold.
12 pages An algorithm for finding complex-analytic discs in a real submanifold is added

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Complex Variables, 32B10; 32C07; 32C16; 32D15; 32H02

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http://salesiana.dossiersoluciones.com/handle/123456789/76476

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801040
 http://arxiv.org/abs/math/9801040

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arXiv