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Semi-global extension of maximally complex submanifolds

Giuseppe Della Sala·Alberto Saracco
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Abstract

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.

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Giuseppe Della Sala, Alberto Saracco. 2007-01-19. Semi-global extension of maximally complex submanifolds. https://arxiv.org/abs/math/0607747

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