Upper bounds on the slope of certain fibered surfaces
Algebraic Geometry
2016-04-26 v1
Abstract
We establish the slope equality and give an upper bound of the slope for finite cyclic covering fibrations of an elliptic surface including bielliptic fibrations of genus greater than 5. 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.
Keywords
Cite
@article{arxiv.1604.06919,
title = {Upper bounds on the slope of certain fibered surfaces},
author = {Makoto Enokizono},
journal= {arXiv preprint arXiv:1604.06919},
year = {2016}
}
Comments
47 pages