天元讲堂（9.5）Examples of genus two fibrations with no sections on rational surfaces
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 thistalk, we construct explicit examples of genus two fibrations with nosections on rational surfaces by the double covering method. For theproof of non-existence of sections, we use the theory of the virtualMordell-Weil groups.