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arxiv: 1701.06860 · v3 · pith:NXMNK5FNnew · submitted 2017-01-24 · 🧮 math.DG · math.CV

On domains biholomorphic to Teichm\"{u}ller spaces

classification 🧮 math.DG math.CV
keywords biholomorphicllerteichmboundarycannotclosedconvexdomain
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We prove that the Teichm\"{u}ller space $\mathscr{T}$ of a closed surface of genus $g \ge 2$ cannot be biholomorphic to any domain which is locally strictly convex at some boundary point.

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