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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 1

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

Vito Napolitano(Università della Campania Luigi Vanvitelli)0000-0002-2504-6967
Pages
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Publication Date
2026-04-22
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Combin. 84 (1), (2022) 178-186] characterizing the set of non tangent planes to a hyperbolic quadric of PG(3, q).

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we present a characterization of the complement of the set of points of a hyperbolic quadric of PG(3, q).
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Key Findings & Data:Sahu [A characterisation of the planes meeting a hyperbolic quadric of PG(3, q) in a conic, Austral.
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Conclusion & Impact:Combin. 84 (1), (2022) 178-186] characterizing the set of non tangent planes to a hyperbolic quadric of PG(3, q).
🔬Design:Research Article
📍Scope:2022 Verileri
⚙️Variables:Hyperbolic quadric · intersection number · linear code

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).

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Cite This Article

Napolitano, V. (2026). A Characterization of the Complement of the Hyperbolic Quadric in $\mathrm{PG}(3,q)$. International Electronic Journal of Geometry, Volume: 19 Issue: 1. https://doi.org/10.36890/iejg.1714677

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