A Characterization of the Complement of the Hyperbolic Quadric in $\mathrm{PG}(3,q)$

In this paper, we present a characterization of the complement of the set of points of a hyperbolic quadric of PG(3, q). As a byproduct we obtain a generalization of a recent result of B. Sahu [A characterisation of the planes meeting a hyperbolic quadric of PG(3, q) in a conic, Austral. J. Combin. 84 (1), (2022) 178-186] characterizing the set of non tangent planes to a hyperbolic quadric of PG(3, q).

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Publication Details

Journal
International Electronic Journal of Geometry
Published
2026-04-22
DOI
https://doi.org/10.36890/iejg.1714677
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

A Characterization of the Complement of the Hyperbolic Quadric in $\mathrm{PG}(3,q)$

Vito Napolitano
International Electronic Journal of Geometry
Finite Group Theory Research
article

A Characterization of the Complement of the Hyperbolic Quadric in $\mathrm{PG}(3,q)$

Vito Napolitano
article en

Abstract

In this paper, we present a characterization of the complement of the set of points of a hyperbolic quadric of PG(3, q). As a byproduct we obtain a generalization of a recent result of B. Sahu [A characterisation of the planes meeting a hyperbolic quadric of PG(3, q) in a conic, Austral. J. Combin. 84 (1), (2022) 178-186] characterizing the set of non tangent planes to a hyperbolic quadric of PG(3, q).

International Electronic Journal of GeometryVol. 19(1)
Azienda Ospedaliera Universitaria Università degli Studi della Campania Luigi Vanvitelli (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
Openalex Percentile: Top 5%
Finite Group Theory Research
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