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

Details An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain

2006-08-27

arxiv.org/abs/math/0608662v2

Math. Scan. 102 (2008), 149-155

Mathematics

Complex Variables

7 pages. A slight extension of Proposition 3 in the second version

Scientific paper

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

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