3 papers
math.AG2020
On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients
Xiao-Lei Liu, Sheng-Li Tan
Modular invariants of families of curves are Arakelov invariants in arithmetic algebraic geometry. All the known uniform lower bounds of these invariants are not sharp. In this pap…
math.AG2019
Fractional Dehn twists and modular invariants
Xiao-Lei Liu
In this note, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic cu…
math.AG2016
Modular invariants and singularity indices of hyperelliptic fibrations
Xiao-Lei Liu
The modular invariants of a family of semistable curves are the degrees of the corresponding divisors on the image of the moduli map. The singularity indices were introduced by G.…