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Families of curves over P1 with 3 singular fibers
Authors:Cheng Gong  Xin Lu  Sheng-Li Tan
Affiliation:Department of Mathematics, East China Normal University, Dongchuan RD 500, Shanghai 200421, PR China
Abstract:Suppose f:SP1 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 2g??KS2?4g?4. We construct some examples to show that such fibrations exist for infinitely many g.
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