Abstract
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.
Citation
Shinya Kitagawa. "Examples of genus two fibrations with no sections on rational surfaces." Proc. Japan Acad. Ser. A Math. Sci. 93 (9) 93 - 98, November 2017. https://doi.org/10.3792/pjaa.93.93
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