COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
- 10 June 2016
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 59 (1) , 77-108
Abstract
We give an explicit description of the stable reduction of superelliptic curves of the formyn=f(x) at primes $\mathfrak{p}$ whose residue characteristic is prime to the exponentn. We then use this description to compute the localL-factor and the exponent of conductor at $\mathfrak{p}$ of the curve.
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