A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG} ( 3 , q )\), \(q\) odd

DOI10.1016/J.DISC.2020.112044zbMath1448.51006arXiv2002.08576OpenAlexW3043579552WikidataQ115577235 ScholiaQ115577235MaRDI QIDQ2198386

Bikramaditya Sahu, Puspendu Pradhan

Publication date: 10 September 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08576

zbMATH Keywords

projective spacehyperbolic quadriccombinatorial characterizationsecant line

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (4)

A characterization of the planes meeting a hyperbolic quadric of $\PG(3,q)$ in a conic ⋮ Quadratic sets on the Klein quadric ⋮ Pseudo-embeddings and quadratic sets of quadrics ⋮ A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG}(3,q)\), \(q\) odd. II

Cites Work

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• A characterization of the external lines of a hyperoval in PG\((3,q),q\) even
• A characterization of the family of secant or external lines of an ovoid of \(\mathrm{PG}(3,q)\)
• A characterization of the external lines of a hyperoval cone in PG(\(3, q)\), \(q\) even
• Finite generalized quadrangles
• A characterisation of the lines external to a quadric cone of PG\((3,q)\), \(q\) odd
• A characterisation of the lines external to an oval cone in \(PG(3,q),q\) even
• A characterization of the family of lines external to a hyperbolic quadric of \(PG(3,q)\)
• A characterization of the sets of internal and external points of a conic
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes

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