Arcs, Caps and Generalisations in a Finite Projective Space

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-08
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
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article

Arcs, Caps and Generalisations in a Finite Projective Space

ArXiv.org
Finite Group Theory Research
article

Arcs, Caps and Generalisations in a Finite Projective Space

article en

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.

ArXiv.org
Openalex Percentile: Top 40%
Finite Group Theory Research
Open Access PDFOpenAlex
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Arcs, Caps and Generalisations in a Finite Projective Space · ArXiv.org (2025) | TGRS Research Map | TGRS