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A note on extremal trigonal fibrations on rational surfaces

Kitagawa(Gifu National College of Technology)
Wednesday, March 27th, 2019, 10:30 AM  闵行数学楼102室
Abstract: The Picard number of a rational surface equipped with a relatively minimal trigonal fibration is bounded in terms of the genus $g$ of a general fibre. When the Picard number attains the maximum for $g\geq3$, we describe such a fibred surface whose Mordell-Weil group is trivial. This is a joint work with Cheng Gong (Soochow Univ.) and Jun Lu (East China Normal Univ.).
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