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arXiv · 1211.4459

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

Irene I. Bouw·Stefan Wewers
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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 $\p$.

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Irene I. Bouw, Stefan Wewers. 2014-09-11. Computing $L$-functions and semistable reduction of superelliptic curves. https://arxiv.org/abs/1211.4459

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