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).
A characterization of the complement of the hyperbolic quadric in PG(3, q)
Vito Napolitano
2026
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).File in questo prodotto:
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