An isomorphism theorem for Teichmüller curves |
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作者姓名: | CAI Yongmao & SHEN Yuliang |
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作者单位: | CAI Yongmao & SHEN Yuliang Department of Mathematics,Suzhou University,Suzhou 215006,China |
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摘 要: | It is proved that for any Fuchsian group Г such that H/Г is a hyperbolic Riemann surface, the Teichmuller curve V(Г) has a unique complex manifold structure so that the natural projection of the Bers fiber space F(Г) onto V(Г) is holomorphic with local holomorphic sections. An isomorphism theorem for Teichmuller curves is deduced, which generalizes a classical result that the Teichmuller curve V(Г) depends only on the type of Г and not on the orders of the elliptic elements of Г when H/Г is a compact hyperbolic Riemann surface.
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