Semi-global extension of maximally complex submanifolds

Authors

  • Giuseppe Della Sala
  • Alberto Saracco

Keywords:

boundary problem, pseudoconvexity, maximally complex submanifold, CR geometry

Abstract

Let A be a domain of the boundary of a (weakly) pseudoconvex domain O of C^n and M a smooth, closed, maximally complex submanifold of A We find a subdomain E of \C^n, depending only on O and A, and a complex variety W contained in E such that bW = M. Moreover, a generalization to analytic sets of depth at least 4 is given. doi:10.1017/S0004972711002498

Published

2011-10-27

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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