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arXiv · 1504.04106

Slopes of Fibered Surfaces with a Finite Cyclic Automorphism

Makoto Enokizono
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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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Makoto Enokizono. 2015-04-16. Slopes of Fibered Surfaces with a Finite Cyclic Automorphism. https://arxiv.org/abs/1504.04106

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