On the slope of bielliptic fibrations

Barja, Miguel

doi:10.1090/S0002-9939-00-05865-2

On the slope of bielliptic fibrations
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by Miguel A. Barja PDF

Proc. Amer. Math. Soc. 129 (2001), 1899-1906 Request permission

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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