English

Arcs, Caps and Generalisations in a Finite Projective Space

Combinatorics 2025-03-11 v1

Abstract

Arcs and caps are fundamental structures in finite projective spaces. They can be generalised. Here, a survey is given of some important results on these objects, in particular on generalised ovals and generalised ovoids. The paper also contains recent results and several open problems.

Keywords

Cite

@article{arxiv.2503.06243,
  title  = {Arcs, Caps and Generalisations in a Finite Projective Space},
  author = {J. W. P. Hirschfeld and J. A. Thas},
  journal= {arXiv preprint arXiv:2503.06243},
  year   = {2025}
}
R2 v1 2026-06-28T22:12:12.257Z