Problème du bord dans l'espace projectif complexe. (Boundary problem in the complex projective space.) (Q1272264)

In this paper the author searches for the minimal family of projective \((n-p+1)\)-planes in the Grassmannian \(G(n-p+2,n+1)\) such that the generalized Dolbeault-Henkin theorem yet holds, and gives applications of this new result: the generalized Hartogs-Levi theorem, the CR-meromorphic extension theorem and the generalized Gruman-Molzon-Shiffman-Sibony theorem. The latter corollary gives necessary and sufficient condition for an analytic subset of pure dimension \(p\geq 2\) of \(\mathbb{C}^n\) to be algebraic.