Work

Computing $L$-functions and semistable reduction of superelliptic curves

Year: 2012
Type: preprint
Abstract: 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 $\p$.
Institution: Universität Ulm
Language: English
Open Access status: green
OpenAlex ID: W1919255288
Cites: 8
Cited by: 5
Related to: 20