A Characterization of the Complement of the Hyperbolic Quadric in PG (3, q)

Key Points

• The aim is to characterize the complement of the hyperbolic quadric in PG(3,q).
• Analyzed the set of points related to hyperbolic quadrics in projective geometry.
• Generalized results from previous studies on planes intersecting hyperbolic quadrics.
• Presented a new characterization of the complement of the hyperbolic quadric.
• Generalized a result on non tangent planes to the hyperbolic quadric in PG(3,q).