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

Irene I. Bouw; Stefan Wewers

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

Number Theory 2014-09-12 v4 Algebraic Geometry

Authors: Irene I. Bouw , Stefan Wewers

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 $\p$ .

Keywords

elliptic curves

Cite

@article{arxiv.1211.4459,
  title  = {Computing $L$-functions and semistable reduction of superelliptic curves},
  author = {Irene I. Bouw and Stefan Wewers},
  journal= {arXiv preprint arXiv:1211.4459},
  year   = {2014}
}

Comments

major revision, 34 pages

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