Families of curves over P1 with 3 singular fibers |
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Authors: | Cheng Gong Xin Lu Sheng-Li Tan |
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Affiliation: | Department of Mathematics, East China Normal University, Dongchuan RD 500, Shanghai 200421, PR China |
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Abstract: | Suppose is a fibration of genus g with 3 singular fibers and two of them are semistable. We show that the Mordell–Weil group of f is finite, the surface S is rational and . We construct some examples to show that such fibrations exist for infinitely many g. |
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