English

Unramified abelian covers with many points

Number Theory 2025-10-21 v1

Abstract

We produce curves with a record number of points over the finite fields with 44, 99, 1616 and 2525 elements, as unramified abelian covers of algebraic curves.

Keywords

Cite

@article{arxiv.2510.17632,
  title  = {Unramified abelian covers with many points},
  author = {Jean Gasnier},
  journal= {arXiv preprint arXiv:2510.17632},
  year   = {2025}
}
R2 v1 2026-07-01T06:47:49.827Z