Holomorphic maps of real submanifolds in complex spaces of different dimensions

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We define a new local invariant (called degeneracy) associated to a triple (M,M',H), where M and M' are real submanifolds of C^N and C^N', respectively, and H: M->M' is either a holomorphic map, a formal holomorphic map, or a smooth CR-map. We use this invariant to find sufficient conditions under which finite jet dependence, convergence and algebraicity results hold.
AMSTeX, 25 pages

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Complex Variables, 32H02

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http://salesiana.dossiersoluciones.com/handle/123456789/98310

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911057
 http://arxiv.org/abs/math/9911057
 Pacific J. Math. 201 (2001), no. 2, 357-387

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arXiv