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An example of a bounded C-convex domain which is not biholomoprhic to a convex domain

Nikolai Nikolov, Peter Pflug, Wlodzimierz Zwonek

math.CVarXiv:math/0608662

Abstract

We show that the symmetrized bidisc is a C-convex domain. This provides an example of a bounded C-convex domain which cannot be exhausted by domains biholomorphic to convex domains.

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