English

Pointless Hyperelliptic Curves

Number Theory 2012-09-14 v1 Algebraic Geometry

Abstract

In this paper we consider the question of whether there exists a hyperelliptic curve of genus gg which is defined over \FFq\FF_q but has no rational points over \FFq\FF_q for various pairs (g,q)(g,q).

Keywords

Cite

@article{arxiv.1209.2984,
  title  = {Pointless Hyperelliptic Curves},
  author = {Ryan Becker and Darren Glass},
  journal= {arXiv preprint arXiv:1209.2984},
  year   = {2012}
}
R2 v1 2026-06-21T22:04:37.164Z