Computing $L$-functions and semistable reduction of superelliptic curves
  We give an explicit description of the stable reduction of superelliptic curves of the form $y^n=f(x)$ at primes $\p$ whose residue characteristic is prime to the exponent $n$. We then use this description to compute the local $L$-factor of the curve and the exponent of conductor at $\p$. 
Irene I. Bouw and Stefan Wewers
math.NT math.AG