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  • 天元讲堂(9.5)Examples of genus two fibrations with no sections on rational surfaces
  • 浏览量:208 发布人:佚名 发布时间:2017-09-02 16:18:33
  •  报告人: Kitagawa Shinya (岐阜工业学院

    时间: 9月5日 10:00-11:00

    地点:维格堂 319


    摘要:We have a few examples for fibrations without sections on surfaces. It seems that a proof of non-existence of sections is difficult. In this talk, we construct explicit examples of genus two fibrations with no sections on rational surfaces by the double covering method. For the proof of non-existence of sections, we use the theory of the virtual Mordell-Weil groups.

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