Domains of polyhedral type and boundary extensions of biholomorphisms

Abstract

For $D$, $D^{\prime }$ analytic polyhedra in $C^n$, it is proven that a biholomorphic mapping $f:D\to D^{\prime }$ extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to a more general class of domains with no smoothness condition on the boundary.

11 pages