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On the slope of bielliptic fibrations
Authors:Miguel A Barja
Institution:Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
Abstract:Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi $ is isotrivial provided it is smooth. Finally, we prove that the slope of $\pi $ is at least four provided the genus of the fibre is at least six.
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