论文标题
3属3属曲线的三个扭矩亚组和导体
Three-Torsion Subgroups and Conductors of Genus 3 Hyperelliptic Curves
论文作者
论文摘要
我们提供了一种计算3属3型高纤维曲线的雅各布式的3扭矩亚组的实用方法。我们为雅各布的3扭点定义了一个方案，并使用复杂的近似值，同型延续和降低晶格，以找到3个扭转的精确表达。在本文的后期，我们解释了如何使用3个扭矩亚组来计算指导者局部指数的野生部分。
We give a practical method for computing the 3-torsion subgroup of the Jacobian of a genus 3 hyperelliptic curve. We define a scheme for the 3-torsion points of the Jacobian and use complex approximations, homotopy continuation and lattice reduction to find precise expression for the 3-torsion. In the latter stages of the paper, we explain how the 3-torsion subgroup can be used to compute the wild part of the local exponent of the conductor at 2.
