English

Superspecial trigonal curves of genus $5$

Algebraic Geometry 2021-10-04 v1 Number Theory

Abstract

This paper provides an algorithm enumerating superspecial trigonal curves of genus 55 over finite fields. Executing the algorithm over a computer algebra system Magma, we enumerate them over finite fields Fpa\mathbb{F}_{p^a} for any natural number aa if p7p \leq 7 and for odd aa if p13p \leq 13.

Keywords

Cite

@article{arxiv.1804.11277,
  title  = {Superspecial trigonal curves of genus $5$},
  author = {Momonari Kudo and Shushi Harashita},
  journal= {arXiv preprint arXiv:1804.11277},
  year   = {2021}
}