Automorphism groups of superspecial curves of genus 4 over F11
Automorphism groups of superspecial curves of genus 4 over F11
复制标题
F11上属4超特殊曲线的自同构群
DOI：
10.1016/j.jpaa.2020.106339
复制
发表时间：
2020
影响因子：
0.8
通讯作者：
Senda Hayato
中科院分区：
文献类型：
--
作者：
Kudo Momonari;Harashita Shushi;Senda Hayato
本文明确地确定了F11上亏格为4的每条非超椭圆超特殊曲线的自同构群。我们的算法适用于有限域上亏格为4的任何非超椭圆曲线。通过这个计算，我们证明了第一和第二作者在2017年计算得到的F11上亏格4的超特殊曲线的计数与Galois上同调理论的计数之间的相容。
In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11. Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4 over finite fields. With this computation, we show the compatibility between the enumeration of superspecial curves of genus 4 over F 11 obtained computationally by the first and second authors in 2017 and an enumeration by Galois cohomology theory.