It is proved that, for any elementary torsion free Fuchsian group F, the natural projection from the Teichmiiller curve V(F) to the Teichmiiller space T(F) has no holomorphic section.
基金Supported by Program for New Century Excellent Talents in University (Grant No.NCET-06-0504)National Natural Science Foundation of China (Grant No.10771153)
文摘It is proved that, for any elementary torsion free Fuchsian group F, the natural projection from the Teichmiiller curve V(F) to the Teichmiiller space T(F) has no holomorphic section.