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arxiv: 1008.4010 · v1 · pith:GJY2BFHAnew · submitted 2010-08-24 · 🧮 math.CV

Exhausting domains of the symmetrized bidisc

classification 🧮 math.CV
keywords convexdomainsbidiscexhaustedlinearlystronglysymmetrizedbiholomorphic
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We show that the symmetrized bidisc may be exhausted by strongly linearly convex domains. It shows in particular the existence of a strongly linearly convex domain that cannot be exhausted by domains biholomorphic to convex ones.

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