A characterization of the planes meeting a hyperbolic quadric of \PG(3,q) in a conic

2021/02/07 by Bikramaditya Sahu, Sahu, Bikramaditya
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2102.03813

openalex publication_date 2021/02/07 · openalex created_date 2021/02/15 · openalex updated_date 2026/07/28

Abstract

In this article, a combinatorial characterization of the family of planes of \PG(3,q) which meet a hyperbolic quadric in an irreducible conic, using their intersection properties with the points and lines of \PG(3,q), is given.

Related

• Characterising hyperbolic hyperplanes of a non-singular quadric in PG(4,q)
• Characterizing parabolic hyperplanes of the hyperbolic and elliptic quadrics in PG(2n + 1, q)
• Varieties of planes on intersections of three quadrics
• Characterising ovoidal cones by their intersection numbers
• Characterising pointsets in PG(4,q) that correspond to conics