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Bounds for the relative Euler-Poincaré characteristic of certain hyperelliptic fibrations

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Abstract.

In this paper, we find the lower bound for the relative Euler-Poincaré characteristic of a relatively minimal hyperelliptic fibration with slope four. We prove the existence of hyperelliptic fibrations over an elliptic curve, which attain our bound.

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  1. Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan

    Hirotaka Ishida

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  1. Hirotaka Ishida
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Correspondence to Hirotaka Ishida.

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Ishida, H. Bounds for the relative Euler-Poincaré characteristic of certain hyperelliptic fibrations. manuscripta math. 118, 467–483 (2005). https://doi.org/10.1007/s00229-005-0599-5

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  • DOI: https://doi.org/10.1007/s00229-005-0599-5

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