COMPUTING L-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES

被引：21

作者：

Bouw, Irene I. ^{[1
]}

Wewers, Stefan ^{[1
]}

机构：

[1] Univ Ulm, Inst Reine Math, Helmholtzstr 18, D-89081 Ulm, Germany

来源：

GLASGOW MATHEMATICAL JOURNAL | 2017年 / 59卷 / 01期

关键词：

HYPERELLIPTIC CURVES; MODULI SPACE; DISCRIMINANT; CONDUCTOR; MODELS;

D O I：

10.1017/S0017089516000057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 and the exponent of conductor at p of the curve.

引用

页码：77 / 108

页数：32

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