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

zbMath1503.51003arXiv2102.03813MaRDI QIDQ5869448

Bikramaditya Sahu

Publication date: 28 September 2022

Full work available at URL: https://arxiv.org/abs/2102.03813

zbMATH Keywords

intersection numbersquadricsplane configurations

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Cites Work

• Characterizations of finite classical polar spaces by intersection numbers with hyperplanes and spaces of codimension 2
• Finite generalized quadrangles
• A characterization of the family of lines external to a hyperbolic quadric of \(PG(3,q)\)
• Characterising elliptic solids of \(q ( 4 , q )\), \(q\) even
• A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG} ( 3 , q )\), \(q\) odd
• Characterising hyperbolic hyperplanes of a non-singular quadric in \(\mathrm{PG}(4,q)\)
• A characterisation of the planes meeting a non-singular quadric of \(\mathrm{PG}(4,q)\) in a conic
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