Two-dimensional bounded generic convex domains with piecewise C²-smooth boundary and finite-volume quotients are biholomorphic to the bidisk, while Teichmüller spaces T_g (g≥2) are not.
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Geometry of bounded generic domains with piecewise smooth boundary
Two-dimensional bounded generic convex domains with piecewise C²-smooth boundary and finite-volume quotients are biholomorphic to the bidisk, while Teichmüller spaces T_g (g≥2) are not.