COMPUTING L-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
COMPUTING L-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
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计算 L 函数和超椭圆曲线的半稳态约简
DOI：
10.1017/s0017089516000057
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发表时间：
2012
影响因子：
0.5
通讯作者：
S. Wewers
中科院分区：
文献类型：
--
作者：
I. Bouw;S. Wewers
摘要给出了形式为y n =f(x)的超椭圆曲线在素数$\mathfrak{p}$处的稳定约简的显式描述，其残差特征为素数的n次方，并利用这一描述计算了曲线在$\mathfrak{p}$处的局部l因子和导体指数。
Abstract We give an explicit description of the stable reduction of superelliptic curves of the form y n =f(x) at primes $\mathfrak{p}$ 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 $\mathfrak{p}$ of the curve.