Arcs, Caps and Generalisations in a Finite Projective Space

James W. P. Hirschfeld and Joseph A. Thas ()
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James W. P. Hirschfeld: Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK
Joseph A. Thas: Department of Mathematics, Ghent University, 9000 Gent, Belgium

Mathematics, 2025, vol. 13, issue 9, 1-17

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. This paper also contains recent results and several open problems.

Keywords: arc; cap; generalised oval; generalised ovoid; translation; finite projective space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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