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Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type (1303.1976v1)

Published 8 Mar 2013 in math.CV

Abstract: We show that for any bounded domain $\Omega\subset\Cp n$ of 1-type $2k $ which is locally convexifiable at $p\in b\Omega$, having a Stein neighborhood basis, there is a biholomorphic map $f:\bar{\Omega}\rightarrow \Cp n $ such that $f(p)$ is a global extreme point of type $2k$ for $f{(\bar\Omega)}$.

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