Slopes of Fibered Surfaces with a Finite Cyclic Automorphism
Algebraic Geometry
2016-04-19 v2
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.
Keywords
Cite
@article{arxiv.1504.04106,
title = {Slopes of Fibered Surfaces with a Finite Cyclic Automorphism},
author = {Makoto Enokizono},
journal= {arXiv preprint arXiv:1504.04106},
year = {2016}
}
Comments
30 pages