Slopes of Fibered Surfaces with a Finite Cyclic Automorphism

2015/04/16 by Enokizono, Makoto
#14D06 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.04106

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.

Related

• Upper bounds on the slope of certain fibered surfaces
• Slope inequalities for irregular cyclic covering fibrations
• Fibers of Cyclic Covering Fibrations of a Ruled Surface
• On the Slope of Fibred Surfaces
• Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface