Semi-global extension of maximally complex submanifolds

Details Semi-global extension of maximally complex submanifolds Semi-global extension of maximally complex submanifolds

2006-07-28

arxiv.org/abs/math/0607747v2

Mathematics

Complex Variables

16 pages, v2 example modified and generalization to analytic sets (sec. 5) added

Scientific paper

Let A be a domain of the boundary of a strictly pseudoconvex domain \Omega of
C^n and M a smooth, closed, maximally complex submanifold of A. We find a
subdomain \widetilde A of \Omega, depending only on \Omega and 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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