Upper bounds on the slope of certain fibered surfaces

2016/04/23 by Enokizono, Makoto
#14D06 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.06919

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.

Related

• Slopes of Fibered Surfaces with a Finite Cyclic Automorphism
• Slope inequalities for irregular cyclic covering fibrations
• Remarks on Xiao's approach of Slope inequalities
• On the Slope of Fibred Surfaces
• Slope inequality for families of curves over surfaces