Semi-global extension of maximally complex submanifolds

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Let A be a domain of the boundary of a strictly pseudoconvex domain Ωof C^n and M a smooth, closed, maximally complex submanifold of A. We find a subdomain \widetilde A of Ω, depending only on Ωand A, and a complex subvariety W of \widetilde A such that bW\cap A = M. Moreover, a generalization to analytic sets of depth at least 4 is given.
16 pages, v2 example modified and generalization to analytic sets (sec. 5) added

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Complex Variables, 32V25, 32D20 (Primary) 32T15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/122203

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607747
 http://arxiv.org/abs/math/0607747

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arXiv