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2021•arXiv (Cornell University)Open access

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

Bikramaditya Sahu

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Quadric, Conic section, Characterization (materials science), Intersection (aeronautics), Mathematics, Pure mathematics, Complete intersection, Combinatorics

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