Semi-global extension of maximally complex submanifolds
Giuseppe Della Sala, Alberto Saracco
Abstract
Let A be a domain of the boundary of a strictly pseudoconvex domain Ωof Cn and M a smooth, closed, maximally complex submanifold of A. We find a subdomain A of Ω, depending only on Ωand A, and a complex subvariety W of A such that bW A = M. Moreover, a generalization to analytic sets of depth at least 4 is given.
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