Analyticity of smooth CR mappings of generic submanifolds

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We consider a smooth CR mapping $f$ from a real-analytic generic submanifold $M$ in $\bC^N$ into $\bC^N$. For $M$ of finite type and essentially finite at a point $p\in M$, and $f$ formally finite at $p$, we give a necessary and sufficient condition for $f$ to extend as a holomorphic mapping in some neighborhood of $p$. In a similar vein, we consider a formal holomorphic mapping $H$ and give a necessary and sufficient condition for $H$ to be convergent.
16 pages

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Complex Variables, Algebraic Geometry, 32H35, 32V40

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http://salesiana.dossiersoluciones.com/handle/123456789/115373

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608272
 http://arxiv.org/abs/math/0608272

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arXiv