Characterizes the complement of a hyperbolic quadric in projective geometry, indicating new insights into non tangent planes.
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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Vito Napolitano (2026) studied this question.
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