April, 2023 Upper bounds on the slope of certain fibered surfaces
Makoto ENOKIZONO
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J. Math. Soc. Japan 75(2): 417-467 (April, 2023). DOI: 10.2969/jmsj/86278627

Abstract

We give an upper bound of the slope for finite cyclic covering fibrations of an elliptic surface which includes bielliptic fibrations. We also give an upper bound of the slope for triple cyclic covering fibrations of a ruled surface and hyperelliptic fibrations, which provides a new proof of Xiao's upper bound.

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Makoto ENOKIZONO. "Upper bounds on the slope of certain fibered surfaces." J. Math. Soc. Japan 75 (2) 417 - 467, April, 2023. https://doi.org/10.2969/jmsj/86278627

Information

Received: 21 January 2021; Revised: 6 September 2021; Published: April, 2023
First available in Project Euclid: 6 June 2022

zbMATH: 07684374
MathSciNet: MR4578046
Digital Object Identifier: 10.2969/jmsj/86278627

Subjects:
Primary: 14D06

Keywords: cyclic covering , fibered surface , slope inequality

Rights: Copyright ©2023 Mathematical Society of Japan

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Vol.75 • No. 2 • April, 2023
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