On Mordell-Weil Lattices of Higher Genus Fibrations on Rational Surfaces
نویسنده
چکیده
We will give an upper bound of Mordell-Weil rank r for relatively minimal brations of curves of genus g 1 on rational surfaces. Under the assumption that a bration is not locally trivial, we have r 4g+4. Moreover the maximal case (r = 4g + 4) will be studied in detail. We determine the structure of such brations and also the structure of their Mordell-Weil lattices introduced by Shioda.
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تاریخ انتشار 2007