Slopes of fibered surfaces with a finite cyclic automorphism

Makoto Enokizono

doi:10.1307/mmj/1488510029

Slopes of fibered surfaces with a finite cyclic automorphism

Makoto Enokizono

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study slopes of finite cyclic covering fibrations of a fibered surface. We give the best possible lower bound of the slope of these fibrations. We also give the slope equality of finite cyclic covering fibrations of a ruled surface and observe the local concentration of the global signature of these surfaces on a finite number of fiber germs. We also give an upper bound of the slope of finite cyclic covering fibrations of a ruled surface.

Original language	English
Pages (from-to)	125-154
Number of pages	30
Journal	Michigan Mathematical Journal
Volume	66
Issue number	1
DOIs	https://doi.org/10.1307/mmj/1488510029
Publication status	Published - 1 Jan 2017

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abstract = "We study slopes of finite cyclic covering fibrations of a fibered surface. We give the best possible lower bound of the slope of these fibrations. We also give the slope equality of finite cyclic covering fibrations of a ruled surface and observe the local concentration of the global signature of these surfaces on a finite number of fiber germs. We also give an upper bound of the slope of finite cyclic covering fibrations of a ruled surface.",

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AB - We study slopes of finite cyclic covering fibrations of a fibered surface. We give the best possible lower bound of the slope of these fibrations. We also give the slope equality of finite cyclic covering fibrations of a ruled surface and observe the local concentration of the global signature of these surfaces on a finite number of fiber germs. We also give an upper bound of the slope of finite cyclic covering fibrations of a ruled surface.

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DO - 10.1307/mmj/1488510029

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JO - Michigan Mathematical Journal

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