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Teichmüller spaces for pointed Fuchsian groups

Teichmüller spaces for pointed Fuchsian groups
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摘要 Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces. Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces.
作者 SUN MingFeng & SHEN YuLiang Department of Mathematics,Soochow University,Suzhou 215006,China
出处 《Science China Mathematics》 SCIE 2010年第8期2031-2038,共8页 中国科学：数学（英文版）
基金 supported by the Program for New Century Excellent Talents in University(Grant No.06-0504) National Natural Science Foundation of China (Grant No.10771153)
关键词 Fuchsian GROUP pointed Fuchsian GROUP TEICHMÜLLER SPACE HOLOMORPHIC SECTION Fuchsian group pointed Fuchsian group Teichmüller space holomorphic section
分类号 O174.52 [理学—基础数学]
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参考文献27

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二级参考文献19

  • 1CAI Yongmao SHEN Yuliang.An isomorphism theorem for Teichmüller curves[J].Science China Mathematics,2006,49(5):577-586. 被引量：3
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Science China Mathematics
2010年 第8期

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